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## Gal, Sorin Gheorghe

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 Author ID: gal.sorin-gheorghe Published as: Gal, G. Sorin; Gal, S. G.; Gal, S. Gh.; Gal, Sorin; Gal, Sorin G.; Gal, Sorin Gh.; Gal, Sorin Gheorghe Homepage: https://galsorin239.wixsite.com/mysite External Links: MGP
 Documents Indexed: 291 Publications since 1981, including 10 Books Reviewing Activity: 58 Reviews
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#### Co-Authors

 125 single-authored 34 Coroianu, Lucian C. 33 Anastassiou, George Angelos 16 Bede, Barnabás 16 Gupta, Vijay 16 Sabadini, Irene 15 Gal, Ciprian Gheorghe Sorin 9 Ban, Adrian I. 7 Goldstein, Jerome Arthur 5 N’Guérékata, Gaston Mandata 5 Niculescu, Constantin P. 5 Opris, Bogdan D. 4 Fjelstad, Paul 4 Szabados, Jozsef 4 Trifa, Sorin 3 Costarelli, Danilo 3 Mahmudov, Nazim Idrisoglu 3 Vernescu, Andrei D. 3 Vinti, Gianluca 2 Gonska, Heinz Herbert 2 González-Cervantes, José Óscar 1 Agratini, Octavian 1 Aral, Ali 1 Balaj, Mircea 1 Bascanbaz-Tunca, Gulen 1 Beg, Ismat 1 Çetin, Nursel 1 Diki, Kamal 1 Gal, Ciprin S. 1 Ganzburg, Michael Iosifovich 1 Greiner, Richard 1 Kacsó, Daniela P. 1 Kara, Mustafa 1 Mocanu, Petru T. 1 Muntean, Ioan Lucian 1 Mureşan, Sorin 1 Păltănea, Radu 1 Stănilă, Elena-Dorina 1 Tachev, Gancho T. 1 Verma, Durvesh Kumar 1 Villena, Armando R.
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#### Serials

 13 Studia Universitatis Babeş-Bolyai. Mathematica 13 Analele Universităţii din Oradea. Fascicola Matematică 11 Results in Mathematics 10 The Journal of Fuzzy Mathematics 9 Revue d’Analyse Numérique et de Théorie de l’Approximation 9 Journal of Computational Analysis and Applications 8 Fuzzy Sets and Systems 8 Advances in Applied Clifford Algebras 7 Mathematica 7 Complex Variables and Elliptic Equations 7 Complex Analysis and Operator Theory 6 Applied Mathematics and Computation 6 Mediterranean Journal of Mathematics 5 Computers & Mathematics with Applications 5 Journal of Concrete and Applicable Mathematics 4 Electronic Journal of Differential Equations (EJDE) 4 Preprint. “Babeş-Bolyai” University. Faculty of Mathematics and Physics. Research Seminars 3 Journal of Mathematical Analysis and Applications 3 Mathematical Methods in the Applied Sciences 3 Demonstratio Mathematica 3 International Journal of Mathematics and Mathematical Sciences 3 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. Mathématica 3 Numerical Functional Analysis and Optimization 3 Publications de l’Institut Mathématique. Nouvelle Série 3 Revista de la Unión Matemática Argentina 3 Journal of Integral Equations and Applications 3 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 3 General Mathematics 3 Sampling Theory in Signal and Image Processing 3 Analysis in Theory and Applications 3 Series on Concrete and Applicable Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Calcolo 2 Journal of Approximation Theory 2 Mathematische Nachrichten 2 Mathematica Slovaca 2 Real Analysis Exchange 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Studia Scientiarum Mathematicarum Hungarica 2 Studii şi Cercetări Matematice 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Acta Mathematica Hungarica 2 Applied Mathematics Letters 2 Mathematica Balkanica. New Series 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Filomat 2 Communications in Applied Analysis 2 Advances in Nonlinear Variational Inequalities 2 Analysis and Applications (Singapore) 2 Cubo 2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 Journal of Applied Functional Analysis 2 Communications in Mathematical Analysis 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Journal of Mathematical Analysis and Approximation Theory 2 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Periodica Mathematica Hungarica 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Annales Polonici Mathematici 1 Archivum Mathematicum 1 Bulletin Mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie. Nouvelle Série 1 Commentationes Mathematicae Universitatis Carolinae 1 Journal of the Korean Mathematical Society 1 Matematički Vesnik 1 Numerische Mathematik 1 Semigroup Forum 1 Complex Variables. Theory and Application 1 Approximation Theory and its Applications 1 Journal of Applied Mathematics and Stochastic Analysis 1 Aequationes Mathematicae 1 Serdica 1 Indagationes Mathematicae. New Series 1 The Journal of Analysis 1 Turkish Journal of Mathematics 1 Random Operators and Stochastic Equations 1 Integral Transforms and Special Functions 1 Nonlinear Studies 1 Mathematical Communications 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 “Babeş-Bolyai” University. Faculty of Mathematics and Computer Science. Research Seminars. Preprint 1 Mathematical Inequalities & Applications 1 Lobachevskii Journal of Mathematics 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Nonlinear Functional Analysis and Applications 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mathematical Reports 1 Proceedings of the Romanian Academy. Series A: Mathematics, Physics, Technical Sciences, Information Science 1 Communications on Pure and Applied Analysis 1 Computational Methods and Function Theory 1 Fixed Point Theory 1 Global Journal of Pure and Applied Mathematics 1 Carpathian Journal of Mathematics 1 European Journal of Pure and Applied Mathematics 1 Banach Journal of Mathematical Analysis 1 Jaen Journal on Approximation 1 Mathematics in Engineering, Science and Aerospace MESA ...and 4 more Serials
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#### Fields

 191 Approximations and expansions (41-XX) 100 Functions of a complex variable (30-XX) 30 Real functions (26-XX) 27 Operator theory (47-XX) 23 Measure and integration (28-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 11 Mathematical logic and foundations (03-XX) 11 Functional analysis (46-XX) 9 Partial differential equations (35-XX) 9 Probability theory and stochastic processes (60-XX) 8 Ordinary differential equations (34-XX) 8 General topology (54-XX) 8 Information and communication theory, circuits (94-XX) 5 Special functions (33-XX) 4 Abstract harmonic analysis (43-XX) 4 Integral transforms, operational calculus (44-XX) 4 Numerical analysis (65-XX) 3 History and biography (01-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Sequences, series, summability (40-XX) 3 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

173 Publications have been cited 1,373 times in 728 Documents Cited by Year
Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations. Zbl 1061.26024
Bede, Barnabás; Gal, Sorin G.
2005
Almost periodic fuzzy-number-valued functions. Zbl 1053.42015
Bede, Barnabás; Gal, Sorin G.
2004
Approximation theory. Moduli of continuity and global smoothness preservation. Zbl 0937.41001
Anastassiou, George A.; Gal, Sorin G.
2000
Approximation by complex Bernstein and convolution type operators. Zbl 1237.41001
Gal, Sorin G.
2009
Shape-preserving approximation by real and complex polynomials. Zbl 1154.41002
Gal, Sorin G.
2008
Quadrature rules for integrals of fuzzy-number-valued functions. Zbl 1050.28009
Bede, Barnabás; Gal, Sorin G.
2004
Approximation theory in fuzzy setting. Zbl 0968.41018
Gal, Sorin G.
2000
On a fuzzy trigonometric approximation theorem of Weierstrass-type. Zbl 1004.42005
Anastassiou, George A.; Gal, Sorin G.
2001
Solutions of fuzzy differential equations based on generalized differentiability. Zbl 1200.34003
Bede, Barnabás; Gal, Sorin G.
2010
Overconvergence in complex approximation. Zbl 1272.30001
Gal, Sorin G.
2013
Approximation by complex genuine durrmeyer type polynomials in compact disks. Zbl 1201.30041
Gal, Sorin G.
2010
Grüss and Grüss-Voronovskaya-type estimates for some Bernstein-type polynomials of real and complex variables. Zbl 1384.41004
Gal, Sorin G.; Gonska, Heiner
2015
Approximation by complex Bernstein-Durrmeyer polynomials in compact disks. Zbl 1207.30055
Anastassiou, George A.; Gal, S. G.
2010
$$L^p$$-approximation by truncated max-product sampling operators of Kantorovich-type based on Fejér kernel. Zbl 1371.41016
Coroianu, Lucian; Gal, Sorin G.
2017
Approximation by max-product type operators. Zbl 1358.41013
Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G.
2016
Approximation by a complex $$q$$-Durrmeyer type operator. Zbl 1302.30046
Gal, Sorin G.; Gupta, Vijay; Mahmudov, Nazim I.
2012
Approximation by a Durrmeyer-type operator in compact disks. Zbl 1254.30041
Gal, Sorin G.; Gupta, Vijay
2011
Quantitative estimates for a new complex Durrmeyer operator in compact disks. Zbl 1250.30031
Gal, Sorin G.; Gupta, Vijay
2011
Approximation and shape preserving properties of the Bernstein operator of max-product kind. Zbl 1188.41016
Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G.
2009
Voronovskaja’s theorem and iterations for complex Bernstein polynomials in compact disks. Zbl 1185.30039
Gal, Sorin G.
2008
Saturation results for the truncated max-product sampling operators based on sinc and Fejér-type kernels. Zbl 1346.41004
Coroianu, Lucian; Gal, Sorin G.
2012
Approximation by max-product sampling operators based on sinc-type kernels. Zbl 1346.94074
Coroianu, Lucian; Gal, Sorin G.
2011
Two-dimensional geometries, topologies, trigonometries and physics generated by complex-type numbers. Zbl 1052.83004
2001
Approximation and geometric properties of complex Favard-Szász-Mirakjan operators in compact disks. Zbl 1155.41303
Gal, Sorin G.
2008
Approximation by complex Bernstein-Schurer and Kantorovich-Schurer polynomials in compact disks. Zbl 1189.41002
Anastassiou, George A.; Gal, Sorin G.
2009
Approximation by complex Bernstein-stancu polynomials in compact disks. Zbl 1181.30023
Gal, Sorin G.
2009
Geometric and approximation properties of generalized singular integrals in the unit disk. Zbl 1107.30029
Anastassiou, George A.; Gal, Sorin G.
2006
Approximation by polynomials on quaternionic compact sets. Zbl 1348.30028
2015
Classes of functions with improved estimates in approximation by the max-product Bernstein operator. Zbl 1226.41007
Coroianu, Lucian; Gal, Sorin G.
2011
Approximation by nonlinear generalized sampling operators of max-product kind. Zbl 1228.41015
Coroianu, Lucian; Gal, Sorin G.
2010
Exact orders in simultaneous approximation by complex Bernstein–Stancu polynomials. Zbl 1199.30227
Gal, Sorin G.
2008
$$n$$-dimensional hyperbolic complex numbers. Zbl 0937.30029
1998
Saturation and inverse results for the Bernstein max-product operator. Zbl 1340.41034
Coroianu, Lucian; Gal, Sorin G.
2014
Approximation by complex Bernstein–Kantorovich and Stancu–Kantorovich polynomials and their iterates in cimpact disks. Zbl 1212.30129
Gal, Sorin G.
2008
Geometric and approximation properties of some singular integrals in the unit disk. Zbl 1193.42075
Anastassiou, George A.; Gal, Sorin G.
2006
Remark on the degree of approximation of continuous functions by singular integrals. Zbl 0808.42004
Gal, S. G.
1993
Approximation of fuzzy numbers by max-product Bernstein operators. Zbl 1335.03050
Coroianu, Lucian; Gal, Sorin G.; Bede, Barnabás
2014
Approximation by complex Bernstein-Durrmeyer polynomials with Jacobi weights in compact disks. Zbl 1254.30040
Gal, Sorin G.
2010
Approximation and shape preserving properties of the nonlinear Meyer-König and Zeller operator of max-product kind. Zbl 1197.41015
Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G.
2010
Approximation by nonlinear Bernstein and Favard-Szász-Mirakjan operators of max-product kind. Zbl 1197.41017
Bede, Barnabás; Gal, Sorin G.
2010
Approximation by a nonlinear Cardaliaguet-Euvrard neural network operator of max-product kind. Zbl 1232.41020
Anastassiou, George A.; Coroianu, Lucian; Gal, Sorin G.
2010
Convergence of generalized singular integrals to the unit, univariate case. Zbl 0972.41012
Anastassiou, George A.; Gal, Sorin G.
2000
Convergence of generalized singular integrals to the unit, multivariate case. Zbl 0979.41010
Anastassiou, George A.; Gal, Sorin G.
2000
Degree of approximation of continuous functions by some singular integrals. Zbl 1007.41009
Gal, Sorin G.
1998
Approximation by truncated max-product operators of Kantorovich-type based on generalized $$(\phi,\psi)$$-kernels. Zbl 1405.41012
Coroianu, Lucian; Gal, Sorin G.
2018
Quantitative estimates in uniform and pointwise approximation by Bernstein-Durrmeyer-Choquet operators. Zbl 1399.41043
Gal, Sorin G.; Trifa, Sorin
2017
Uniform and pointwise quantitative approximation by Kantorovich-Choquet type integral operators with respect to monotone and submodular set functions. Zbl 1376.41018
Gal, Sorin G.
2017
Approximation by complex Baskakov-Stancu operators in compact disks. Zbl 1254.30042
Gal, Sorin G.; Gupta, Vijay; Verma, D. K.
2012
Approximation in compact sets by $$q$$-Stancu-Faber polynomials. Zbl 1222.41008
Gal, Sorin G.
2011
Approximation of analytic functions without exponential growth conditions by complex Favard-Szász-Mirakjan operators. Zbl 1207.30056
Gal, Sorin G.
2010
Semigroups of operator on spaces of fuzzy-number-valued functions with applications to fuzzy differential equations. Zbl 1095.47059
Gal, Ciprin S.; Gal, Sorin G.
2005
Defects of properties in mathematics. Quantitative characterizations. Zbl 1035.00001
Ban, Adrian I.; Gal, Sorin G.
2002
The max-product generalized sampling operators: convergence and quantitative estimates. Zbl 1428.41018
Coroianu, Lucian; Costarelli, Danilo; Gal, Sorin G.; Vinti, Gianluca
2019
Uniform and pointwise convergence of Bernstein-Durrmeyer operators with respect to monotone and submodular set functions. Zbl 1305.41028
Gal, Sorin G.; Opris, Bogdan D.
2015
Approximation by complex $$q$$-Szász-Kantorovich operators in compact disks, $$q>1$$. Zbl 1286.41004
Gal, Sorin G.; Mahmudov, Nazim I.; Kara, Mustafa
2013
Voronovskaja’s theorem, shape preserving properties and iterations for complex $$q$$-Bernstein polynomials. Zbl 1274.30148
Gal, Sorin G.
2011
Approximation and shape preserving properties of the nonlinear Favard-Szász-Mirakjan operator of max-product kind. Zbl 1265.41039
Bede, Bernabás; Coroianu, Lucian; Gal, Sorin G.
2010
Evolution equations with real time variable and complex spatial variables. Zbl 1155.47040
Gal, Ciprian G.; Gal, Sorin G.; Goldstein, Jerome A.
2008
Convolution-type integral operators in complex approximation. Zbl 1011.30031
Gal, Sorin G.
2001
Partial shape preserving approximation by bivariate Hermite-Fejér polynomials. Zbl 0982.41010
Anastassiou, G. A.; Gal, S. G.
2001
Quantitative estimates in $$L^{p}$$-approximation by Bernstein-Durrmeyer-Choquet operators with respect to distorted Borel measures. Zbl 1379.41018
Gal, Sorin G.; Trifa, Sorin
2017
Approximation by Choquet integral operators. Zbl 1342.41027
Gal, Sorin G.
2016
Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels. Zbl 1347.41027
Coroianu, Lucian; Gal, Sorin G.
2016
Approximation by certain integrated Bernstein-type operator in compact disks. Zbl 1257.30032
Gal, Sorin G.; Gupta, Vijay
2012
Exact orders in simultaneous approximation by complex Bernstein polynomials. Zbl 1177.30049
Gal, Sorin G.
2009
Almost automorphic functions in Frechet spaces and applications to differential equations. Zbl 1085.43004
Gal, Ciprian S.; Gal, Sorin G.; N’Guerekata, Gaston M.
2005
Almost automorphic fuzzy-number-valued functions. Zbl 1093.42009
Gal, Sorin G.; N’Guérékata, Gaston M.
2005
On the defect of additivity of fuzzy measures. Zbl 1005.28014
Ban, A. I.; Gal, S. G.
2002
Degree of approximation of fuzzy mappings by fuzzy polynomials. Zbl 0859.41030
Gal, S. G.
1994
On the Weierstras’ approximation theorems. Zbl 0488.41005
Gal, Sorin Gh.
1981
Quaternionic approximation. With application to slice regular functions. Zbl 1432.30034
2019
On some geometric properties of slice regular functions of a quaternion variable. Zbl 1325.30046
Gal, Sorin G.; González-Cervantes, J. Oscar; Sabadini, Irene
2015
Univalence results for slice regular functions of a quaternion variable. Zbl 1325.30045
Gal, Sorin G.; González-Cervantes, J. Oscar; Sabadini, Irene
2015
Approximation by the complex form of a link operator between the Phillips and the Szász-Mirakjan operators. Zbl 1317.30053
Gal, Sorin G.; Gupta, Vijay
2015
On Bernstein and Erdős-Lax’s inequalities for quaternionic polynomials. Zbl 1306.30020
2015
Approximation by complex Durrmeyer type operators in compact disks. Zbl 1311.30011
Gal, S. G.; Gupta, Vijay
2014
Evolution equations with a complex spatial variable. Zbl 1332.35003
Gal, Ciprian G.; Gal, Sorin G.; Goldstein, Jerome A.
2014
Approximation in compact balls by convolution operators of quaternion and paravector variable. Zbl 1279.30052
2013
Localization results for the Meyer-König and Zeller MAX-product operator. Zbl 1277.41005
Coroianu, Lucian; Gal, Sorin G.
2013
Voronovskaja-type results in compact disks for quaternion $$q$$-Bernstein operators, $$q\geq 1$$. Zbl 1282.41005
Gal, Sorin G.
2012
Approximation and shape preserving properties of the nonlinear Baskakov operator of max-product kind. Zbl 1240.41040
Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G.
2010
Approximation and shape preserving properties of the nonlinear Bleimann-Butzer-Hahn operators of max-product kind. Zbl 1224.41060
Bede, B.; Coroianu, L.; Gal, S. G.
2010
Generalized Voronovskaja’s theorem and approximation by Butzer’s combinations of complex Bernstein polynomials. Zbl 1181.30024
Gal, Sorin G.
2009
Polynomial approximation in slice regular Fock spaces. Zbl 1445.30024
Diki, Kamal; Gal, Sorin G.; Sabadini, Irene
2019
Approximation of analytic functions by generalized Favard-Szász-Mirakjan-Faber operators in compact sets. Zbl 1323.30045
Gal, Sorin G.
2015
Localization results for the Bernstein MAX-product operator. Zbl 1410.41019
Coroianu, Lucian; Gal, Sorin G.
2014
Approximation with an arbitrary order by generalized Szász-Mirakjan operators. Zbl 1349.41038
Gal, Sorin G.
2014
A possibilistic approach of the max-product Bernstein kind operators. Zbl 1293.41010
Gal, Sorin G.
2014
Approximation by complex beta operators of first kind in strips of compact disks. Zbl 1266.30021
Gal, Sorin G.; Gupta, Vijay
2013
Approximation by quaternion $$q$$-Bernstein polynomials, $$q > 1$$. Zbl 1259.41029
Gal, Sorin G.
2012
Wave and telegraph equations with real time variable and complex spatial variables. Zbl 1251.47038
Gal, Ciprian G.; Gal, Sorin G.; Goldstein, Jerome A.
2012
Approximation of fuzzy numbers by nonlinear Bernstein operators of max-product kind. Zbl 1254.26037
Coroianu, Lucian; Gal, Sorin G.; Bede, Barnabás
2011
Approximation by truncated Favard-Szász-Mirakjan operator of max-product kind. Zbl 1223.41011
Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G.
2011
Higher-order heat and Laplace-type equations with real time variable and complex spatial variable. Zbl 1198.47087
Gal, Ciprian G.; Gal, Sorin G.; Goldstein, Jerome A.
2010
Semigroups of linear operators on $$p$$-Fréchet spaces, $$0<p<1$$. Zbl 1127.47039
Gal, S. G.; Goldstein, J. A.
2007
Decomposable measures and information measures for intuitionistic fuzzy sets. Zbl 0987.28015
Ban, A. I.; Gal, S. G.
2001
Measures of noncompactness for fuzzy sets in fuzzy topological spaces. Zbl 0945.54007
Ban, A. I.; Gal, S. G.
2000
On the preservation of global smoothness by some interpolation operators. Zbl 0973.41001
1999
On dense sets in some spaces of real functions. Zbl 0586.41028
Gal, Sorin Gh.
1984
On the approximation by polynomials in $$C^ q_{[0,1]}$$. Zbl 0551.41010
Gal, S. G.
1984
Choquet operators associated to vector capacities. Zbl 07337435
Gal, Sorin G.; Niculescu, Constantin P.
2021
A nonlinear extension of Korovkin’s theorem. Zbl 07246867
Gal, Sorin G.; Niculescu, Constantin P.
2020
Semi-discrete quantitative Voronovskaya-type theorems for positive linear operators. Zbl 1448.41019
Gal, Sorin G.
2020
The max-product generalized sampling operators: convergence and quantitative estimates. Zbl 1428.41018
Coroianu, Lucian; Costarelli, Danilo; Gal, Sorin G.; Vinti, Gianluca
2019
Quaternionic approximation. With application to slice regular functions. Zbl 1432.30034
2019
Polynomial approximation in slice regular Fock spaces. Zbl 1445.30024
Diki, Kamal; Gal, Sorin G.; Sabadini, Irene
2019
Fredholm-Choquet integral equations. Zbl 1444.45002
Gal, Sorin G.
2019
A new look at Popoviciu’s concept of convexity for functions of two variables. Zbl 1423.26025
Gal, Sorin G.; Niculescu, Constantin P.
2019
Quantitative approximation by Stancu-Durrmeyer-Choquet-Šipoš operators. Zbl 07093135
Gal, Sorin G.
2019
Quantitative estimates for $$L^p$$-approximation by Bernstein-Kantorovich-Choquet polynomials with respect to distorted Lebesgue measures. Zbl 07251262
Gal, Sorin G.; Trifa, Sorin
2019
Volterra-Choquet integral equations. Zbl 1443.45002
Gal, Sorin G.
2019
Approximation by truncated max-product operators of Kantorovich-type based on generalized $$(\phi,\psi)$$-kernels. Zbl 1405.41012
Coroianu, Lucian; Gal, Sorin G.
2018
Approximation by polynomials in Bergman spaces of slice regular functions in the unit ball. Zbl 1388.30072
2018
Quantitative approximations by convolution polynomials in Bergman spaces. Zbl 1390.30057
Gal, Sorin G.
2018
Quantitative approximation by nonlinear Picard-Choquet, Gauss-Weierstrass-Choquet and Poisson-Cauchy-Choquet singular integrals. Zbl 1400.41016
Gal, Sorin G.
2018
The Choquet integral in capacity. Zbl 1400.28005
Gal, Sorin G.
2018
$$L^p$$-approximation by truncated max-product sampling operators of Kantorovich-type based on Fejér kernel. Zbl 1371.41016
Coroianu, Lucian; Gal, Sorin G.
2017
Quantitative estimates in uniform and pointwise approximation by Bernstein-Durrmeyer-Choquet operators. Zbl 1399.41043
Gal, Sorin G.; Trifa, Sorin
2017
Uniform and pointwise quantitative approximation by Kantorovich-Choquet type integral operators with respect to monotone and submodular set functions. Zbl 1376.41018
Gal, Sorin G.
2017
Quantitative estimates in $$L^{p}$$-approximation by Bernstein-Durrmeyer-Choquet operators with respect to distorted Borel measures. Zbl 1379.41018
Gal, Sorin G.; Trifa, Sorin
2017
Heat and Laplace type equations with complex spatial variables in weighted Bergman spaces. Zbl 06785396
Gal, Ciprian G.; Gal, Sorin G.
2017
Feller’s scheme in approximation by nonlinear possibilistic integral operators. Zbl 1364.41013
Coroianu, Lucian; Gal, Sorin G.; Opris, Bogdan D.; Trifa, Sorin
2017
Approximation by max-product type operators. Zbl 1358.41013
Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G.
2016
Approximation by Choquet integral operators. Zbl 1342.41027
Gal, Sorin G.
2016
Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels. Zbl 1347.41027
Coroianu, Lucian; Gal, Sorin G.
2016
Approximation of analytic functions with an arbitrary order by generalized Baskakov-Faber operators in compact sets. Zbl 1332.30057
Gal, Sorin G.; Opris, Bogdan D.
2016
Approximation by complex Lupaş-Durrmeyer polynomials based on Polya distribution. Zbl 1381.41012
Gal, S. G.; Gupta, V.
2016
Grüss and Grüss-Voronovskaya-type estimates for some Bernstein-type polynomials of real and complex variables. Zbl 1384.41004
Gal, Sorin G.; Gonska, Heiner
2015
Approximation by polynomials on quaternionic compact sets. Zbl 1348.30028
2015
Uniform and pointwise convergence of Bernstein-Durrmeyer operators with respect to monotone and submodular set functions. Zbl 1305.41028
Gal, Sorin G.; Opris, Bogdan D.
2015
On some geometric properties of slice regular functions of a quaternion variable. Zbl 1325.30046
Gal, Sorin G.; González-Cervantes, J. Oscar; Sabadini, Irene
2015
Univalence results for slice regular functions of a quaternion variable. Zbl 1325.30045
Gal, Sorin G.; González-Cervantes, J. Oscar; Sabadini, Irene
2015
Approximation by the complex form of a link operator between the Phillips and the Szász-Mirakjan operators. Zbl 1317.30053
Gal, Sorin G.; Gupta, Vijay
2015
On Bernstein and Erdős-Lax’s inequalities for quaternionic polynomials. Zbl 1306.30020
2015
Approximation of analytic functions by generalized Favard-Szász-Mirakjan-Faber operators in compact sets. Zbl 1323.30045
Gal, Sorin G.
2015
Approximation with an arbitrary order by modified Baskakov type operators. Zbl 1410.41032
Gal, Sorin G.; Opris, Bogdan D.
2015
Approximation by complex Szász-Mirakyan-Stancu-Durrmeyer operators in compact disks under exponential growth. Zbl 06749080
Gal, Sorin G.; Gupta, Vijay
2015
Approximation by complex Baskakov-Szász-Durrmeyer operators in compact disks. Zbl 1349.30124
Gal, Sorin G.; Gupta, Vijay
2015
Universality properties of the quaternionic power series and entire functions. Zbl 1318.30081
2015
Arakelian’s approximation theorem of Runge type in the hypercomplex setting. Zbl 1311.30032
2015
Saturation and inverse results for the Bernstein max-product operator. Zbl 1340.41034
Coroianu, Lucian; Gal, Sorin G.
2014
Approximation of fuzzy numbers by max-product Bernstein operators. Zbl 1335.03050
Coroianu, Lucian; Gal, Sorin G.; Bede, Barnabás
2014
Approximation by complex Durrmeyer type operators in compact disks. Zbl 1311.30011
Gal, S. G.; Gupta, Vijay
2014
Evolution equations with a complex spatial variable. Zbl 1332.35003
Gal, Ciprian G.; Gal, Sorin G.; Goldstein, Jerome A.
2014
Localization results for the Bernstein MAX-product operator. Zbl 1410.41019
Coroianu, Lucian; Gal, Sorin G.
2014
Approximation with an arbitrary order by generalized Szász-Mirakjan operators. Zbl 1349.41038
Gal, Sorin G.
2014
A possibilistic approach of the max-product Bernstein kind operators. Zbl 1293.41010
Gal, Sorin G.
2014
Approximations by complex Szász-Durrmeyer operators in compact disks. Zbl 1324.41017
Gal, Sorin G.; Gupta, Vijay
2014
Approximation by complex Phillips-Stancu operators in compact disks under exponential growth conditions. Zbl 1302.41026
Gal, Sorin G.; Gupta, Vijay
2014
Walsh equiconvergence theorems in the quaternionic setting. Zbl 1301.30047
2014
Carleman type approximation theorem in the quaternionic setting and applications. Zbl 1302.30065
2014
Overconvergence in complex approximation. Zbl 1272.30001
Gal, Sorin G.
2013
Approximation by complex $$q$$-Szász-Kantorovich operators in compact disks, $$q>1$$. Zbl 1286.41004
Gal, Sorin G.; Mahmudov, Nazim I.; Kara, Mustafa
2013
Approximation in compact balls by convolution operators of quaternion and paravector variable. Zbl 1279.30052
2013
Localization results for the Meyer-König and Zeller MAX-product operator. Zbl 1277.41005
Coroianu, Lucian; Gal, Sorin G.
2013
Approximation by complex beta operators of first kind in strips of compact disks. Zbl 1266.30021
Gal, Sorin G.; Gupta, Vijay
2013
The lower estimate for Bernstein operator. Zbl 1318.41005
Gal, Sorin G.; Tachev, Ganchov T.
2013
Burgers and Black-Merton-Scholes equations with real time variable and complex spatial variable. Zbl 1288.47038
Gal, Ciprian G.; Gal, Sorin G.; Goldstein, Jerome A.
2013
Approximation by a complex $$q$$-Durrmeyer type operator. Zbl 1302.30046
Gal, Sorin G.; Gupta, Vijay; Mahmudov, Nazim I.
2012
Saturation results for the truncated max-product sampling operators based on sinc and Fejér-type kernels. Zbl 1346.41004
Coroianu, Lucian; Gal, Sorin G.
2012
Approximation by complex Baskakov-Stancu operators in compact disks. Zbl 1254.30042
Gal, Sorin G.; Gupta, Vijay; Verma, D. K.
2012
Approximation by certain integrated Bernstein-type operator in compact disks. Zbl 1257.30032
Gal, Sorin G.; Gupta, Vijay
2012
Voronovskaja-type results in compact disks for quaternion $$q$$-Bernstein operators, $$q\geq 1$$. Zbl 1282.41005
Gal, Sorin G.
2012
Approximation by quaternion $$q$$-Bernstein polynomials, $$q > 1$$. Zbl 1259.41029
Gal, Sorin G.
2012
Wave and telegraph equations with real time variable and complex spatial variables. Zbl 1251.47038
Gal, Ciprian G.; Gal, Sorin G.; Goldstein, Jerome A.
2012
Approximation by complex $$q$$-Lorentz polynomials, $$q>1$$. Zbl 1274.30147
Gal, Sorin G.
2012
Differentiated generalized Voronovskaja’s theorem in compact disks. Zbl 1257.30031
Gal, Sorin G.
2012
Approximation by a Durrmeyer-type operator in compact disks. Zbl 1254.30041
Gal, Sorin G.; Gupta, Vijay
2011
Quantitative estimates for a new complex Durrmeyer operator in compact disks. Zbl 1250.30031
Gal, Sorin G.; Gupta, Vijay
2011
Approximation by max-product sampling operators based on sinc-type kernels. Zbl 1346.94074
Coroianu, Lucian; Gal, Sorin G.
2011
Classes of functions with improved estimates in approximation by the max-product Bernstein operator. Zbl 1226.41007
Coroianu, Lucian; Gal, Sorin G.
2011
Approximation in compact sets by $$q$$-Stancu-Faber polynomials. Zbl 1222.41008
Gal, Sorin G.
2011
Voronovskaja’s theorem, shape preserving properties and iterations for complex $$q$$-Bernstein polynomials. Zbl 1274.30148
Gal, Sorin G.
2011
Approximation of fuzzy numbers by nonlinear Bernstein operators of max-product kind. Zbl 1254.26037
Coroianu, Lucian; Gal, Sorin G.; Bede, Barnabás
2011
Approximation by truncated Favard-Szász-Mirakjan operator of max-product kind. Zbl 1223.41011
Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G.
2011
Approximation by max-product type nonlinear operators. Zbl 1249.41039
Gal, Sorin G.
2011
Approximation by max-product Lagrange interpolation operators. Zbl 1249.41002
Coroianu, Lucian; Gal, Sorin G.
2011
Quantitative estimates in the overconvergence of some complex multivariate generalized singular integrals in polystrips. Zbl 1229.41022
Anastassiou, George A.; Gal, Sorin G.
2011
Approximation by nonlinear Lagrange interpolation operators of max-product kind on Chebyshev knots of second kind. Zbl 1223.41001
Coroianu, Lucian; Gal, Sorin G.
2011
Solutions of fuzzy differential equations based on generalized differentiability. Zbl 1200.34003
Bede, Barnabás; Gal, Sorin G.
2010
Approximation by complex genuine durrmeyer type polynomials in compact disks. Zbl 1201.30041
Gal, Sorin G.
2010
Approximation by complex Bernstein-Durrmeyer polynomials in compact disks. Zbl 1207.30055
Anastassiou, George A.; Gal, S. G.
2010
Approximation by nonlinear generalized sampling operators of max-product kind. Zbl 1228.41015
Coroianu, Lucian; Gal, Sorin G.
2010
Approximation by complex Bernstein-Durrmeyer polynomials with Jacobi weights in compact disks. Zbl 1254.30040
Gal, Sorin G.
2010
Approximation and shape preserving properties of the nonlinear Meyer-König and Zeller operator of max-product kind. Zbl 1197.41015
Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G.
2010
Approximation by nonlinear Bernstein and Favard-Szász-Mirakjan operators of max-product kind. Zbl 1197.41017
Bede, Barnabás; Gal, Sorin G.
2010
Approximation by a nonlinear Cardaliaguet-Euvrard neural network operator of max-product kind. Zbl 1232.41020
Anastassiou, George A.; Coroianu, Lucian; Gal, Sorin G.
2010
Approximation of analytic functions without exponential growth conditions by complex Favard-Szász-Mirakjan operators. Zbl 1207.30056
Gal, Sorin G.
2010
Approximation and shape preserving properties of the nonlinear Favard-Szász-Mirakjan operator of max-product kind. Zbl 1265.41039
Bede, Bernabás; Coroianu, Lucian; Gal, Sorin G.
2010
Approximation and shape preserving properties of the nonlinear Baskakov operator of max-product kind. Zbl 1240.41040
Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G.
2010
Approximation and shape preserving properties of the nonlinear Bleimann-Butzer-Hahn operators of max-product kind. Zbl 1224.41060
Bede, B.; Coroianu, L.; Gal, S. G.
2010
Higher-order heat and Laplace-type equations with real time variable and complex spatial variable. Zbl 1198.47087
Gal, Ciprian G.; Gal, Sorin G.; Goldstein, Jerome A.
2010
Approximation by nonlinear Hermite-Fejér interpolation operators of max-product kind of Chebyshev nodes. Zbl 1240.41002
Coroianu, Lucian; Gal, Sorin G.
2010
Approximation by complex Bernstein and convolution type operators. Zbl 1237.41001
Gal, Sorin G.
2009
Approximation and shape preserving properties of the Bernstein operator of max-product kind. Zbl 1188.41016
Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G.
2009
Approximation by complex Bernstein-Schurer and Kantorovich-Schurer polynomials in compact disks. Zbl 1189.41002
Anastassiou, George A.; Gal, Sorin G.
2009
Approximation by complex Bernstein-stancu polynomials in compact disks. Zbl 1181.30023
Gal, Sorin G.
2009
Exact orders in simultaneous approximation by complex Bernstein polynomials. Zbl 1177.30049
Gal, Sorin G.
2009
Generalized Voronovskaja’s theorem and approximation by Butzer’s combinations of complex Bernstein polynomials. Zbl 1181.30024
Gal, Sorin G.
2009
Linear continuous functionals on $$FN$$-type spaces. Zbl 1195.46079
Gal, Sorin G.
2009
...and 73 more Documents
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#### Cited by 747 Authors

 85 Gal, Sorin Gheorghe 34 Anastassiou, George Angelos 28 Costarelli, Danilo 27 Allahviranloo, Tofigh 26 Gupta, Vijay 26 Vinti, Gianluca 25 Salahshour, Soheil 24 Chalco-Cano, Yurilev 17 Ahmadian, Ali 17 Bede, Barnabás 15 Coroianu, Lucian C. 14 Ezzati, Reza 14 Khastan, Alireza 14 Mahmudov, Nazim Idrisoglu 13 Ngo Van Hoa 13 Rodríguez-López, Rosana 12 Duman, Oktay 12 Gong, Zengtai 11 Abbasbandy, Saeid 11 Agrawal, Purshottam Narain 11 Băleanu, Dumitru I. 11 Bica, Alexandru Mihai 10 Bardaro, Carlo 10 Fard, Omid Solaymani 10 Mantellini, Ilaria 10 Sabadini, Irene 9 İspir, Nurhayat 9 Nguyen Dinh Phu 9 Román-Flores, Heriberto E. 9 Ziari, Shokrollah 8 De Barros, Laécio Carvalho 8 Mondal, Sankar Prasad 8 Nieto Roig, Juan Jose 8 Rufián-Lizana, Antonio 7 Agratini, Octavian 7 Braha, Naim Latif 7 Osuna-Gómez, Rafaela 7 Shao, Yabin 6 Angeloni, Laura 6 Armand, Atefeh 6 Bahrami, Fariba 6 Lodwick, Weldon Alexander 6 Malinowski, Marek T. 6 Melliani, Said 6 Mezei, Razvan A. 6 Niculescu, Constantin P. 6 Sadatrasoul, S. M. 6 Stefanini, Luciano 5 Agarwal, Ravi P. 5 Alikhani, Robab 5 Amrahov, Sahin Emrah 5 Bidgoli, Tayebeh Aliabdoli 5 Chadli, Lalla Saadia 5 Gal, Ciprian Gheorghe Sorin 5 Gasilov, Nizami A. 5 Gouyandeh, Zienab 5 Kajla, Arun 5 Lupulescu, Vasile 5 Mursaleen, Mohammad 5 Qiu, Dong 5 Shen, Yonghong 5 Son, Nguyen Thi Kim 5 Suleiman, Mohamed Bin 5 Trynin, Aleksandr Yur’evich 5 Yavuz, Enes 4 Acar, Tuncer 4 Acu, Ana Maria 4 Al-Smadi, Mohammed H. 4 Aral, Ali 4 Doğru, Ogün 4 Fatullayev, Afet Golayoglu 4 Goldstein, Jerome Arthur 4 Hernández-Jiménez, Beatriz 4 Ismail, Fudziah Bt. 4 Long, Hoang Viet 4 Ostrovska, Sofiya 4 Popescu, Constantin 4 Ren, Guangbin 4 Sidorov, Sergeĭ Petrovich 4 Srivastava, Hari Mohan 4 Tachev, Gancho T. 4 Talo, Özer 4 Vu, Ho 4 Xu, Zhenghua 3 Arana-Jiménez, Manuel 3 Arqub, Omar Abu 3 Başar, Feyzi 3 Bascanbaz-Tunca, Gulen 3 Chen, Zizhong 3 Dattoli, Giuseppe 3 Dong, Nguyen Phuong 3 ElJaoui, ElHassan 3 Esmi, Estevão Laureano 3 Fariborzi Araghi, Mohammad Ali 3 Fjelstad, Paul 3 Ghosh, Debdas 3 Güngör, Şule Yüksel 3 Hong, Shihuang 3 Ibikli, Ertan 3 Jiang, Bing ...and 647 more Authors
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#### Cited in 171 Serials

 96 Fuzzy Sets and Systems 38 Soft Computing 31 Results in Mathematics 29 Information Sciences 23 Computers & Mathematics with Applications 23 Applied Mathematics and Computation 23 Advances in Difference Equations 19 Advances in Applied Clifford Algebras 18 Journal of Intelligent and Fuzzy Systems 17 Abstract and Applied Analysis 14 Complex Analysis and Operator Theory 12 Computational and Applied Mathematics 11 Journal of Inequalities and Applications 11 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 10 Journal of Mathematical Analysis and Applications 10 Mediterranean Journal of Mathematics 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Mathematical and Computer Modelling 8 Iranian Journal of Fuzzy Systems 8 Journal of Nonlinear Science and Applications 7 Applied Mathematics Letters 7 Symmetry 7 Journal of Function Spaces 6 Demonstratio Mathematica 6 Journal of Approximation Theory 6 Journal of Computational and Applied Mathematics 6 Numerical Functional Analysis and Optimization 6 Complexity 6 Positivity 6 Complex Variables and Elliptic Equations 6 International Journal of Applied and Computational Mathematics 6 Constructive Mathematical Analysis 5 Mathematical Methods in the Applied Sciences 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 International Journal of Differential Equations 5 Advances in Fuzzy Systems 4 Journal of the Franklin Institute 4 International Journal of Mathematics and Mathematical Sciences 4 Mathematical Problems in Engineering 4 Computational Methods and Function Theory 4 Banach Journal of Mathematical Analysis 4 S$$\vec{\text{e}}$$MA Journal 4 Mathematical Sciences 3 Applicable Analysis 3 Ukrainian Mathematical Journal 3 Chaos, Solitons and Fractals 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Applied Mathematical Modelling 3 Turkish Journal of Mathematics 3 Lobachevskii Journal of Mathematics 3 Fuzzy Optimization and Decision Making 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Analysis and Mathematical Physics 3 Journal of Linear and Topological Algebra 2 Czechoslovak Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Acta Mathematica Hungarica 2 International Journal of Approximate Reasoning 2 Journal of Integral Equations and Applications 2 Numerical Algorithms 2 Integral Transforms and Special Functions 2 Journal of Difference Equations and Applications 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Communications in Nonlinear Science and Numerical Simulation 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Journal of Applied Mathematics 2 Journal of Applied Mathematics and Computing 2 Analysis in Theory and Applications 2 Boundary Value Problems 2 Journal of Fixed Point Theory and Applications 2 European Journal of Pure and Applied Mathematics 2 Nonlinear Analysis. Hybrid Systems 2 Bulletin of Mathematical Analysis and Applications 2 Fuzzy Information and Engineering 2 Journal of Classical Analysis 2 Bollettino dell’Unione Matematica Italiana 1 International Journal of General Systems 1 Journal of Computational Physics 1 Periodica Mathematica Hungarica 1 Journal of Geometry and Physics 1 Acta Mathematica Vietnamica 1 Calcolo 1 Computing 1 Fasciculi Mathematici 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Optimization Theory and Applications 1 Matematički Vesnik 1 Mathematica Slovaca 1 Numerische Mathematik 1 Opsearch 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quaestiones Mathematicae 1 Ricerche di Matematica 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series ...and 71 more Serials
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#### Cited in 50 Fields

 268 Approximations and expansions (41-XX) 188 Ordinary differential equations (34-XX) 139 Real functions (26-XX) 108 Functions of a complex variable (30-XX) 82 Numerical analysis (65-XX) 68 Integral equations (45-XX) 63 Operator theory (47-XX) 36 Measure and integration (28-XX) 30 Mathematical logic and foundations (03-XX) 30 Partial differential equations (35-XX) 30 Sequences, series, summability (40-XX) 22 Operations research, mathematical programming (90-XX) 17 Information and communication theory, circuits (94-XX) 16 Integral transforms, operational calculus (44-XX) 15 Systems theory; control (93-XX) 14 Functional analysis (46-XX) 13 Special functions (33-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 10 Probability theory and stochastic processes (60-XX) 9 Computer science (68-XX) 8 Biology and other natural sciences (92-XX) 7 Several complex variables and analytic spaces (32-XX) 7 General topology (54-XX) 6 Number theory (11-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Difference and functional equations (39-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Abstract harmonic analysis (43-XX) 4 Differential geometry (53-XX) 4 Statistics (62-XX) 4 Fluid mechanics (76-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Geophysics (86-XX)