Edit Profile (opens in new tab) Gal, Sorin Gheorghe Compute Distance To: Compute Author ID: gal.sorin-gheorghe Published as: Gal, Sorin G.; Gal, S. G.; Gal, Sorin Gh.; Gal, Sorin; Gal, S. Gh.; Gal, Sorin Gheorghe; Gal, G. Sorin more...less Homepage: https://galsorin239.wixsite.com/mysite External Links: MGP Documents Indexed: 303 Publications since 1981, including 10 Books Reviewing Activity: 62 Reviews Co-Authors: 41 Co-Authors with 177 Joint Publications 913 Co-Co-Authors all top 5 Co-Authors 126 single-authored 37 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. 8 Niculescu, Constantin P. 7 Goldstein, Jerome Arthur 5 Iancu, Ionut T. 5 N’Guérékata, Gaston Mandata 5 Opris, Bogdan D. 4 Costarelli, Danilo 4 Fjelstad, Paul 4 Szabados, Jozsef 4 Trifa, Sorin 4 Vinti, Gianluca 3 Mahmudov, Nazim Idrisoglu 3 Vernescu, Andrei D. 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 1 Mureşan, Sorin 1 Păltănea, Radu 1 Stănilă, Elena-Dorina 1 Tachev, Gancho T. 1 Verma, Durvesh Kumar 1 Villena, Armando R. all top 5 Serials 14 Studia Universitatis Babeș-Bolyai. Mathematica 13 Analele Universității 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 Mediterranean Journal of Mathematics 7 Complex Variables and Elliptic Equations 7 Complex Analysis and Operator Theory 6 Applied Mathematics and Computation 5 Computers & Mathematics with Applications 5 Journal of Concrete and Applicable Mathematics 4 Numerical Functional Analysis and Optimization 4 Electronic Journal of Differential Equations (EJDE) 4 Preprint. “Babeș-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 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 Carpathian Journal of Mathematics 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 și 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 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Journal of Numerical Analysis and Approximation Theory 2 Constructive Mathematical Analysis 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 Topological Methods in Nonlinear 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 “Babeș-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 ...and 6 more Serials all top 5 Fields 200 Approximations and expansions (41-XX) 102 Functions of a complex variable (30-XX) 30 Real functions (26-XX) 29 Operator theory (47-XX) 28 Measure and integration (28-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 11 Mathematical logic and foundations (03-XX) 10 Functional analysis (46-XX) 10 Probability theory and stochastic processes (60-XX) 9 Partial differential equations (35-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 Integral equations (45-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) 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 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 196 Publications have been cited 1,763 times in 933 Documents Cited by ▼ Year ▼ Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations. Zbl 1061.26024Bede, Barnabás; Gal, Sorin G. 335 2005 Almost periodic fuzzy-number-valued functions. Zbl 1053.42015Bede, Barnabás; Gal, Sorin G. 74 2004 Approximation by complex Bernstein and convolution type operators. Zbl 1237.41001Gal, Sorin G. 59 2009 Approximation theory. Moduli of continuity and global smoothness preservation. Zbl 0937.41001Anastassiou, George A.; Gal, Sorin G. 56 2000 Quadrature rules for integrals of fuzzy-number-valued functions. Zbl 1050.28009Bede, Barnabás; Gal, Sorin G. 52 2004 Approximation theory in fuzzy setting. Zbl 0968.41018Gal, Sorin G. 47 2000 Shape-preserving approximation by real and complex polynomials. Zbl 1154.41002Gal, Sorin G. 46 2008 On a fuzzy trigonometric approximation theorem of Weierstrass-type. Zbl 1004.42005Anastassiou, George A.; Gal, Sorin G. 42 2001 Grüss and Grüss-Voronovskaya-type estimates for some Bernstein-type polynomials of real and complex variables. Zbl 1384.41004Gal, Sorin G.; Gonska, Heiner 32 2015 Solutions of fuzzy differential equations based on generalized differentiability. Zbl 1200.34003Bede, Barnabás; Gal, Sorin G. 32 2010 \(L^p\)-approximation by truncated max-product sampling operators of Kantorovich-type based on Fejér kernel. Zbl 1371.41016Coroianu, Lucian; Gal, Sorin G. 29 2017 Approximation by max-product type operators. Zbl 1358.41013Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G. 26 2016 Approximation and shape preserving properties of the Bernstein operator of max-product kind. Zbl 1188.41016Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G. 22 2009 Approximation by complex genuine durrmeyer type polynomials in compact disks. Zbl 1201.30041Gal, Sorin G. 21 2010 Overconvergence in complex approximation. Zbl 1272.30001Gal, Sorin G. 21 2013 Approximation by truncated max-product operators of Kantorovich-type based on generalized \((\phi,\psi)\)-kernels. Zbl 1405.41012Coroianu, Lucian; Gal, Sorin G. 20 2018 Quantitative estimates for a new complex Durrmeyer operator in compact disks. Zbl 1250.30031Gal, Sorin G.; Gupta, Vijay 18 2011 Approximation by complex Bernstein-Durrmeyer polynomials in compact disks. Zbl 1207.30055Anastassiou, George A.; Gal, S. G. 18 2010 Geometric and approximation properties of generalized singular integrals in the unit disk. Zbl 1107.30029Anastassiou, George A.; Gal, Sorin G. 17 2006 Two-dimensional geometries, topologies, trigonometries and physics generated by complex-type numbers. Zbl 1052.83004Fjelstad, Paul; Gal, Sorin G. 16 2001 Approximation by max-product sampling operators based on sinc-type kernels. Zbl 1346.94074Coroianu, Lucian; Gal, Sorin G. 16 2011 The max-product generalized sampling operators: convergence and quantitative estimates. Zbl 1428.41018Coroianu, Lucian; Costarelli, Danilo; Gal, Sorin G.; Vinti, Gianluca 16 2019 Approximation by a complex \(q\)-Durrmeyer type operator. Zbl 1302.30046Gal, Sorin G.; Gupta, Vijay; Mahmudov, Nazim I. 15 2012 Approximation by a Durrmeyer-type operator in compact disks. Zbl 1254.30041Gal, Sorin G.; Gupta, Vijay 15 2011 Voronovskaja’s theorem and iterations for complex Bernstein polynomials in compact disks. Zbl 1185.30039Gal, Sorin G. 15 2008 Saturation results for the truncated max-product sampling operators based on sinc and Fejér-type kernels. Zbl 1346.41004Coroianu, Lucian; Gal, Sorin G. 14 2012 Approximation by nonlinear generalized sampling operators of max-product kind. Zbl 1228.41015Coroianu, Lucian; Gal, Sorin G. 14 2010 Approximation and geometric properties of complex Favard-Szász-Mirakjan operators in compact disks. Zbl 1155.41303Gal, Sorin G. 14 2008 Approximation by nonlinear Bernstein and Favard-Szász-Mirakjan operators of max-product kind. Zbl 1197.41017Bede, Barnabás; Gal, Sorin G. 14 2010 Semigroups of operator on spaces of fuzzy-number-valued functions with applications to fuzzy differential equations. Zbl 1095.47059Gal, Ciprin S.; Gal, Sorin G. 13 2005 Approximation of fuzzy numbers by max-product Bernstein operators. Zbl 1335.03050Coroianu, Lucian; Gal, Sorin G.; Bede, Barnabás 12 2014 Classes of functions with improved estimates in approximation by the max-product Bernstein operator. Zbl 1226.41007Coroianu, Lucian; Gal, Sorin G. 12 2011 Approximation by complex Bernstein-Schurer and Kantorovich-Schurer polynomials in compact disks. Zbl 1189.41002Anastassiou, George A.; Gal, Sorin G. 12 2009 \(n\)-dimensional hyperbolic complex numbers. Zbl 0937.30029Fjelstad, Paul; Gal, Sorin G. 12 1998 Approximation by complex Bernstein-stancu polynomials in compact disks. Zbl 1181.30023Gal, Sorin G. 11 2009 Approximation by polynomials on quaternionic compact sets. Zbl 1348.30028Gal, S. G.; Sabadini, I. 11 2015 Approximation and shape preserving properties of the nonlinear Meyer-König and Zeller operator of max-product kind. Zbl 1197.41015Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G. 11 2010 Exact orders in simultaneous approximation by complex Bernstein–Stancu polynomials. Zbl 1199.30227Gal, Sorin G. 10 2008 Saturation and inverse results for the Bernstein max-product operator. Zbl 1340.41034Coroianu, Lucian; Gal, Sorin G. 10 2014 Uniform and pointwise quantitative approximation by Kantorovich-Choquet type integral operators with respect to monotone and submodular set functions. Zbl 1376.41018Gal, Sorin G. 10 2017 Approximation and shape preserving properties of the nonlinear Favard-Szász-Mirakjan operator of max-product kind. Zbl 1265.41039Bede, Bernabás; Coroianu, Lucian; Gal, Sorin G. 10 2010 Approximation by max-product operators of Kantorovich type. Zbl 1438.41024Coroianu, Lucian; Gal, Sorin G. 9 2019 Quaternionic approximation. With application to slice regular functions. Zbl 1432.30034Gal, Sorin G.; Sabadini, Irene 9 2019 Approximation by a nonlinear Cardaliaguet-Euvrard neural network operator of max-product kind. Zbl 1232.41020Anastassiou, George A.; Coroianu, Lucian; Gal, Sorin G. 9 2010 Approximation by complex Bernstein–Kantorovich and Stancu–Kantorovich polynomials and their iterates in cimpact disks. Zbl 1212.30129Gal, Sorin G. 9 2008 Remark on the degree of approximation of continuous functions by singular integrals. Zbl 0808.42004Gal, S. G. 9 1993 Geometric and approximation properties of some singular integrals in the unit disk. Zbl 1193.42075Anastassiou, George A.; Gal, Sorin G. 9 2006 Evolution equations with real time variable and complex spatial variables. Zbl 1155.47040Gal, Ciprian G.; Gal, Sorin G.; Goldstein, Jerome A. 8 2008 Uniform and pointwise convergence of Bernstein-Durrmeyer operators with respect to monotone and submodular set functions. Zbl 1305.41028Gal, Sorin G.; Opris, Bogdan D. 8 2015 Convergence of generalized singular integrals to the unit, multivariate case. Zbl 0979.41010Anastassiou, George A.; Gal, Sorin G. 8 2000 Approximation by complex Bernstein-Durrmeyer polynomials with Jacobi weights in compact disks. Zbl 1254.30040Gal, Sorin G. 8 2010 Convergence of generalized singular integrals to the unit, univariate case. Zbl 0972.41012Anastassiou, George A.; Gal, Sorin G. 8 2000 Quantitative estimates in uniform and pointwise approximation by Bernstein-Durrmeyer-Choquet operators. Zbl 1399.41043Gal, Sorin G.; Trifa, Sorin 8 2017 Approximation by truncated Favard-Szász-Mirakjan operator of max-product kind. Zbl 1223.41011Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G. 8 2011 Degree of approximation of continuous functions by some singular integrals. Zbl 1007.41009Gal, Sorin G. 8 1998 Approximation of analytic functions without exponential growth conditions by complex Favard-Szász-Mirakjan operators. Zbl 1207.30056Gal, Sorin G. 7 2010 Almost automorphic functions in Frechet spaces and applications to differential equations. Zbl 1085.43004Gal, Ciprian S.; Gal, Sorin G.; N’Guerekata, Gaston M. 7 2005 Approximation by max-product sampling Kantorovich operators with generalized kernels. Zbl 1464.41004Coroianu, Lucian; Costarelli, Danilo; Gal, Sorin G.; Vinti, Gianluca 7 2021 Degree of approximation of fuzzy mappings by fuzzy polynomials. Zbl 0859.41030Gal, S. G. 7 1994 Quantitative estimates in \(L^{p}\)-approximation by Bernstein-Durrmeyer-Choquet operators with respect to distorted Borel measures. Zbl 1379.41018Gal, Sorin G.; Trifa, Sorin 7 2017 Approximation by complex Baskakov-Stancu operators in compact disks. Zbl 1254.30042Gal, Sorin G.; Gupta, Vijay; Verma, D. K. 7 2012 Approximation in compact sets by \(q\)-Stancu-Faber polynomials. Zbl 1222.41008Gal, Sorin G. 7 2011 Approximation by Choquet integral operators. Zbl 1342.41027Gal, Sorin G. 7 2016 Approximation by multivariate max-product Kantorovich-type operators and learning rates of least-squares regularized regression. Zbl 1472.41011Coroianu, Lucian; Costarelli, Danilo; Gal, Sorin G.; Vinti, Gianluca 6 2020 Approximation and shape preserving properties of the nonlinear Bleimann-Butzer-Hahn operators of max-product kind. Zbl 1224.41060Bede, B.; Coroianu, L.; Gal, S. G. 6 2010 Partial shape preserving approximation by bivariate Hermite-Fejér polynomials. Zbl 0982.41010Anastassiou, G. A.; Gal, S. G. 6 2001 Almost automorphic fuzzy-number-valued functions. Zbl 1093.42009Gal, Sorin G.; N’Guérékata, Gaston M. 6 2005 Semigroups of linear operators on \(p\)-Fréchet spaces, \(0<p<1\). Zbl 1127.47039Gal, S. G.; Goldstein, J. A. 6 2007 On Bernstein and Erdős-Lax’s inequalities for quaternionic polynomials. (Sur les inégalités de Bernstein et de Erdős-Las pour les polynômes.) Zbl 1306.30020Gal, Sorin G.; Sabadini, Irene 6 2015 Approximation by complex Durrmeyer type operators in compact disks. Zbl 1311.30011Gal, S. G.; Gupta, Vijay 6 2014 Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels. Zbl 1347.41027Coroianu, Lucian; Gal, Sorin G. 6 2016 Evolution equations with a complex spatial variable. Zbl 1332.35003Gal, Ciprian G.; Gal, Sorin G.; Goldstein, Jerome A. 6 2014 On some geometric properties of slice regular functions of a quaternion variable. Zbl 1325.30046Gal, Sorin G.; González-Cervantes, J. Oscar; Sabadini, Irene 6 2015 Approximation and shape preserving properties of the nonlinear Baskakov operator of max-product kind. Zbl 1240.41040Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G. 6 2010 Voronovskaja’s theorem, shape preserving properties and iterations for complex \(q\)-Bernstein polynomials. Zbl 1274.30148Gal, Sorin G. 6 2011 Approximation by complex \(q\)-Szász-Kantorovich operators in compact disks, \(q>1\). Zbl 1286.41004Gal, Sorin G.; Mahmudov, Nazim I.; Kara, Mustafa 6 2013 Convolution-type integral operators in complex approximation. Zbl 1011.30031Gal, Sorin G. 6 2001 On the defect of additivity of fuzzy measures. Zbl 1005.28014Ban, A. I.; Gal, S. G. 5 2002 On the Weierstras’ approximation theorems. (Sur les théorèmes d’approximation de Weierstrass.) Zbl 0488.41005Gal, Sorin Gh. 5 1981 A new look at Popoviciu’s concept of convexity for functions of two variables. Zbl 1423.26025Gal, Sorin G.; Niculescu, Constantin P. 5 2019 Univalence results for slice regular functions of a quaternion variable. Zbl 1325.30045Gal, Sorin G.; González-Cervantes, J. Oscar; Sabadini, Irene 5 2015 Approximation by certain integrated Bernstein-type operator in compact disks. Zbl 1257.30032Gal, Sorin G.; Gupta, Vijay 5 2012 Exact orders in simultaneous approximation by complex Bernstein polynomials. Zbl 1177.30049Gal, Sorin G. 5 2009 Localization results for the Meyer-König and Zeller MAX-product operator. Zbl 1277.41005Coroianu, Lucian; Gal, Sorin G. 5 2013 A nonlinear extension of Korovkin’s theorem. Zbl 07246867Gal, Sorin G.; Niculescu, Constantin P. 5 2020 Localization results for the Bernstein MAX-product operator. Zbl 1410.41019Coroianu, Lucian; Gal, Sorin G. 5 2014 Polynomial approximation in slice regular Fock spaces. Zbl 1445.30024Diki, Kamal; Gal, Sorin G.; Sabadini, Irene 5 2019 Wave and telegraph equations with real time variable and complex spatial variables. Zbl 1251.47038Gal, Ciprian G.; Gal, Sorin G.; Goldstein, Jerome A. 4 2012 Generalized Voronovskaja’s theorem and approximation by Butzer’s combinations of complex Bernstein polynomials. Zbl 1181.30024Gal, Sorin G. 4 2009 A possibilistic approach of the max-product Bernstein kind operators. Zbl 1293.41010Gal, Sorin G. 4 2014 Approximation with an arbitrary order by generalized Szász-Mirakjan operators. Zbl 1349.41038Gal, Sorin G. 4 2014 Approximation by nonlinear Hermite-Fejér interpolation operators of max-product kind of Chebyshev nodes. Zbl 1240.41002Coroianu, Lucian; Gal, Sorin G. 4 2010 Voronovskaja-type results in compact disks for quaternion \(q\)-Bernstein operators, \(q\geq 1\). Zbl 1282.41005Gal, Sorin G. 4 2012 Approximation in compact balls by convolution operators of quaternion and paravector variable. Zbl 1279.30052Gal, Sorin G.; Sabadini, Irene 4 2013 Quantitative approximation by nonlinear Picard-Choquet, Gauss-Weierstrass-Choquet and Poisson-Cauchy-Choquet singular integrals. Zbl 1400.41016Gal, Sorin G. 4 2018 Approximation with an arbitrary order by modified Baskakov type operators. Zbl 1410.41032Gal, Sorin G.; Opris, Bogdan D. 4 2015 Approximation by the complex form of a link operator between the Phillips and the Szász-Mirakjan operators. Zbl 1317.30053Gal, Sorin G.; Gupta, Vijay 4 2015 Quantitative approximation by Stancu-Durrmeyer-Choquet-Šipoš operators. Zbl 07093135Gal, Sorin G. 3 2019 Linear continuous functionals on \(FN\)-type spaces. Zbl 1195.46079Gal, Sorin G. 3 2009 Approximation of vector-valued functions by \(q\)-Durrmeyer operators with applications to random and fuzzy approximation. Zbl 1199.41077Gal, Sorin G.; Gupta, Vijay 3 2009 Nonlinear versions of Korovkin’s abstract theorems. Zbl 1497.41023Gal, Sorin G.; Niculescu, Constantin P. 1 2022 Approximation by max-product sampling Kantorovich operators with generalized kernels. Zbl 1464.41004Coroianu, Lucian; Costarelli, Danilo; Gal, Sorin G.; Vinti, Gianluca 7 2021 Choquet operators associated to vector capacities. Zbl 1496.47078Gal, Sorin G.; Niculescu, Constantin P. 2 2021 A note on the Choquet type operators. Zbl 1473.41003Gal, Sorin G.; Niculescu, Constantin P. 1 2021 On the inequalities of Turán, Bernstein and Erdős-Lax in quaternionic setting. Zbl 1476.30158Coroianu, Lucian; Gal, Sorin G. 1 2021 Connections between the approximation orders of positive linear operators and their max-product counterparts. Zbl 1483.41007Coroianu, Lucian; Costarelli, Danilo; Gal, Sorin G.; Vinti, Gianluca 1 2021 Approximation of random functions by stochastic Bernstein polynomials in capacity spaces. Zbl 1488.60135Gal, Sorin G.; Niculescu, Constantin P. 1 2021 Approximation by multivariate max-product Kantorovich-type operators and learning rates of least-squares regularized regression. Zbl 1472.41011Coroianu, Lucian; Costarelli, Danilo; Gal, Sorin G.; Vinti, Gianluca 6 2020 A nonlinear extension of Korovkin’s theorem. Zbl 07246867Gal, Sorin G.; Niculescu, Constantin P. 5 2020 Correction to: “Quantitative approximation by nonlinear Picard-Choquet, Gauss-Weierstrass-Choquet and Poisson-Cauchy-Choquet singular integrals”. Zbl 1457.41014Gal, Sorin G. 1 2020 Semi-discrete quantitative Voronovskaya-type theorems for positive linear operators. Zbl 1448.41019Gal, Sorin G. 1 2020 Approximation by polynomial possibilistic integral operators. Zbl 1474.41051Gal, Sorin G. 1 2020 Polynomial approximation in quaternionic Bloch and Besov spaces. Zbl 1455.30039Gal, Sorin G.; Sabadini, Irene 1 2020 Quantitative approximation by nonlinear convolution operators of Landau-Choquet type. Zbl 1488.41050Gal, Sorin G.; Iancu, Ionuţ T. 1 2020 Quantitative approximation by nonlinear Angheluţă-Choquet singular integrals. Zbl 1499.41060Gal, Sorin G.; Iancu, Ionuţ T. 1 2020 The max-product generalized sampling operators: convergence and quantitative estimates. Zbl 1428.41018Coroianu, Lucian; Costarelli, Danilo; Gal, Sorin G.; Vinti, Gianluca 16 2019 Approximation by max-product operators of Kantorovich type. Zbl 1438.41024Coroianu, Lucian; Gal, Sorin G. 9 2019 Quaternionic approximation. With application to slice regular functions. Zbl 1432.30034Gal, Sorin G.; Sabadini, Irene 9 2019 A new look at Popoviciu’s concept of convexity for functions of two variables. Zbl 1423.26025Gal, Sorin G.; Niculescu, Constantin P. 5 2019 Polynomial approximation in slice regular Fock spaces. Zbl 1445.30024Diki, Kamal; Gal, Sorin G.; Sabadini, Irene 5 2019 Quantitative approximation by Stancu-Durrmeyer-Choquet-Šipoš operators. Zbl 07093135Gal, Sorin G. 3 2019 Fredholm-Choquet integral equations. Zbl 1444.45002Gal, Sorin G. 3 2019 Quantitative estimates for \(L^p\)-approximation by Bernstein-Kantorovich-Choquet polynomials with respect to distorted Lebesgue measures. Zbl 1463.41038Gal, Sorin G.; Trifa, Sorin 3 2019 Volterra-Choquet integral equations. Zbl 1443.45002Gal, Sorin G. 2 2019 On a Choquet-Stieltjes type integral on intervals. Zbl 1498.28003Gal, Sorin G. 2 2019 On the Turán inequality for quaternionic polynomials. Zbl 1427.30075Gal, Sorin G.; Sabadini, Irene 1 2019 Approximation by truncated max-product operators of Kantorovich-type based on generalized \((\phi,\psi)\)-kernels. Zbl 1405.41012Coroianu, Lucian; Gal, Sorin G. 20 2018 Quantitative approximation by nonlinear Picard-Choquet, Gauss-Weierstrass-Choquet and Poisson-Cauchy-Choquet singular integrals. Zbl 1400.41016Gal, Sorin G. 4 2018 Quantitative approximations by convolution polynomials in Bergman spaces. Zbl 1390.30057Gal, Sorin G. 2 2018 Approximation by polynomials in Bergman spaces of slice regular functions in the unit ball. Zbl 1388.30072Gal, S. G.; Sabadini, I. 2 2018 The Choquet integral in capacity. Zbl 1400.28005Gal, Sorin G. 1 2018 Shape preserving properties and monotonicity properties of the sequence of Choquet type integral operators. Zbl 1463.41032Gal, Sorin G. 1 2018 \(L^p\)-approximation by truncated max-product sampling operators of Kantorovich-type based on Fejér kernel. Zbl 1371.41016Coroianu, Lucian; Gal, Sorin G. 29 2017 Uniform and pointwise quantitative approximation by Kantorovich-Choquet type integral operators with respect to monotone and submodular set functions. Zbl 1376.41018Gal, Sorin G. 10 2017 Quantitative estimates in uniform and pointwise approximation by Bernstein-Durrmeyer-Choquet operators. Zbl 1399.41043Gal, Sorin G.; Trifa, Sorin 8 2017 Quantitative estimates in \(L^{p}\)-approximation by Bernstein-Durrmeyer-Choquet operators with respect to distorted Borel measures. Zbl 1379.41018Gal, Sorin G.; Trifa, Sorin 7 2017 Feller’s scheme in approximation by nonlinear possibilistic integral operators. Zbl 1364.41013Coroianu, Lucian; Gal, Sorin G.; Opris, Bogdan D.; Trifa, Sorin 2 2017 Heat and Laplace type equations with complex spatial variables in weighted Bergman spaces. Zbl 06785396Gal, Ciprian G.; Gal, Sorin G. 2 2017 Approximation by max-product type operators. Zbl 1358.41013Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G. 26 2016 Approximation by Choquet integral operators. Zbl 1342.41027Gal, Sorin G. 7 2016 Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels. Zbl 1347.41027Coroianu, Lucian; Gal, Sorin G. 6 2016 Approximation of analytic functions with an arbitrary order by generalized Baskakov-Faber operators in compact sets. Zbl 1332.30057Gal, Sorin G.; Opris, Bogdan D. 2 2016 Approximation by complex Lupaş-Durrmeyer polynomials based on Polya distribution. Zbl 1381.41012Gal, S. G.; Gupta, V. 1 2016 Grüss and Grüss-Voronovskaya-type estimates for some Bernstein-type polynomials of real and complex variables. Zbl 1384.41004Gal, Sorin G.; Gonska, Heiner 32 2015 Approximation by polynomials on quaternionic compact sets. Zbl 1348.30028Gal, S. G.; Sabadini, I. 11 2015 Uniform and pointwise convergence of Bernstein-Durrmeyer operators with respect to monotone and submodular set functions. Zbl 1305.41028Gal, Sorin G.; Opris, Bogdan D. 8 2015 On Bernstein and Erdős-Lax’s inequalities for quaternionic polynomials. (Sur les inégalités de Bernstein et de Erdős-Las pour les polynômes.) Zbl 1306.30020Gal, Sorin G.; Sabadini, Irene 6 2015 On some geometric properties of slice regular functions of a quaternion variable. Zbl 1325.30046Gal, Sorin G.; González-Cervantes, J. Oscar; Sabadini, Irene 6 2015 Univalence results for slice regular functions of a quaternion variable. Zbl 1325.30045Gal, Sorin G.; González-Cervantes, J. Oscar; Sabadini, Irene 5 2015 Approximation with an arbitrary order by modified Baskakov type operators. Zbl 1410.41032Gal, Sorin G.; Opris, Bogdan D. 4 2015 Approximation by the complex form of a link operator between the Phillips and the Szász-Mirakjan operators. Zbl 1317.30053Gal, Sorin G.; Gupta, Vijay 4 2015 Approximation by complex Szász-Mirakyan-Stancu-Durrmeyer operators in compact disks under exponential growth. Zbl 1474.30248Gal, Sorin G.; Gupta, Vijay 3 2015 Approximation of analytic functions by generalized Favard-Szász-Mirakjan-Faber operators in compact sets. Zbl 1323.30045Gal, Sorin G. 3 2015 Arakelian’s approximation theorem of Runge type in the hypercomplex setting. Zbl 1311.30032Gal, Sorin G.; Sabadini, Irene 2 2015 Approximation by complex Baskakov-Szász-Durrmeyer operators in compact disks. Zbl 1349.30124Gal, Sorin G.; Gupta, Vijay 2 2015 Universality properties of the quaternionic power series and entire functions. Zbl 1318.30081Gal, Sorin G.; Sabadini, Irene 1 2015 Approximation of fuzzy numbers by max-product Bernstein operators. Zbl 1335.03050Coroianu, Lucian; Gal, Sorin G.; Bede, Barnabás 12 2014 Saturation and inverse results for the Bernstein max-product operator. Zbl 1340.41034Coroianu, Lucian; Gal, Sorin G. 10 2014 Approximation by complex Durrmeyer type operators in compact disks. Zbl 1311.30011Gal, S. G.; Gupta, Vijay 6 2014 Evolution equations with a complex spatial variable. Zbl 1332.35003Gal, Ciprian G.; Gal, Sorin G.; Goldstein, Jerome A. 6 2014 Localization results for the Bernstein MAX-product operator. Zbl 1410.41019Coroianu, Lucian; Gal, Sorin G. 5 2014 A possibilistic approach of the max-product Bernstein kind operators. Zbl 1293.41010Gal, Sorin G. 4 2014 Approximation with an arbitrary order by generalized Szász-Mirakjan operators. Zbl 1349.41038Gal, Sorin G. 4 2014 Carleman type approximation theorem in the quaternionic setting and applications. Zbl 1302.30065Gal, Sorin G.; Sabadini, Irene 1 2014 Walsh equiconvergence theorems in the quaternionic setting. Zbl 1301.30047Gal, Sorin G.; Sabadini, Irene 1 2014 Approximation by complex Phillips-Stancu operators in compact disks under exponential growth conditions. Zbl 1302.41026Gal, Sorin G.; Gupta, Vijay 1 2014 Approximations by complex Szász-Durrmeyer operators in compact disks. Zbl 1324.41017Gal, Sorin G.; Gupta, Vijay 1 2014 Overconvergence in complex approximation. Zbl 1272.30001Gal, Sorin G. 21 2013 Approximation by complex \(q\)-Szász-Kantorovich operators in compact disks, \(q>1\). Zbl 1286.41004Gal, Sorin G.; Mahmudov, Nazim I.; Kara, Mustafa 6 2013 Localization results for the Meyer-König and Zeller MAX-product operator. Zbl 1277.41005Coroianu, Lucian; Gal, Sorin G. 5 2013 Approximation in compact balls by convolution operators of quaternion and paravector variable. Zbl 1279.30052Gal, Sorin G.; Sabadini, Irene 4 2013 Approximation by complex beta operators of first kind in strips of compact disks. Zbl 1266.30021Gal, Sorin G.; Gupta, Vijay 3 2013 Localization results for the Lagrange max-product interpolation operator based on equidistant knots. Zbl 1313.41003Coroianu, Lucian; Gal, Sorin G. 1 2013 The lower estimate for Bernstein operator. Zbl 1318.41005Gal, Sorin G.; Tachev, Ganchov T. 1 2013 Burgers and Black-Merton-Scholes equations with real time variable and complex spatial variable. Zbl 1288.47038Gal, Ciprian G.; Gal, Sorin G.; Goldstein, Jerome A. 1 2013 Approximation by a complex \(q\)-Durrmeyer type operator. Zbl 1302.30046Gal, Sorin G.; Gupta, Vijay; Mahmudov, Nazim I. 15 2012 Saturation results for the truncated max-product sampling operators based on sinc and Fejér-type kernels. Zbl 1346.41004Coroianu, Lucian; Gal, Sorin G. 14 2012 Approximation by complex Baskakov-Stancu operators in compact disks. Zbl 1254.30042Gal, Sorin G.; Gupta, Vijay; Verma, D. K. 7 2012 Approximation by certain integrated Bernstein-type operator in compact disks. Zbl 1257.30032Gal, Sorin G.; Gupta, Vijay 5 2012 Wave and telegraph equations with real time variable and complex spatial variables. Zbl 1251.47038Gal, Ciprian G.; Gal, Sorin G.; Goldstein, Jerome A. 4 2012 Voronovskaja-type results in compact disks for quaternion \(q\)-Bernstein operators, \(q\geq 1\). Zbl 1282.41005Gal, Sorin G. 4 2012 Approximation by quaternion \(q\)-Bernstein polynomials, \(q > 1\). Zbl 1259.41029Gal, Sorin G. 3 2012 Approximation by complex \(q\)-Lorentz polynomials, \(q>1\). Zbl 1274.30147Gal, Sorin G. 2 2012 Differentiated generalized Voronovskaja’s theorem in compact disks. Zbl 1257.30031Gal, Sorin G. 1 2012 Global smoothness preservation by some nonlinear max-product operators. Zbl 1289.41001Coroianu, Lucian; Gal, Sorin G. 1 2012 Saturation results for the Lagrange max-product interpolation operator based on equidistant knots. Zbl 1299.41054Coroianu, Lucian; Gal, Sorin G. 1 2012 Quantitative estimates for a new complex Durrmeyer operator in compact disks. Zbl 1250.30031Gal, Sorin G.; Gupta, Vijay 18 2011 Approximation by max-product sampling operators based on sinc-type kernels. Zbl 1346.94074Coroianu, Lucian; Gal, Sorin G. 16 2011 Approximation by a Durrmeyer-type operator in compact disks. Zbl 1254.30041Gal, Sorin G.; Gupta, Vijay 15 2011 Classes of functions with improved estimates in approximation by the max-product Bernstein operator. Zbl 1226.41007Coroianu, Lucian; Gal, Sorin G. 12 2011 Approximation by truncated Favard-Szász-Mirakjan operator of max-product kind. Zbl 1223.41011Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G. 8 2011 Approximation in compact sets by \(q\)-Stancu-Faber polynomials. Zbl 1222.41008Gal, Sorin G. 7 2011 Voronovskaja’s theorem, shape preserving properties and iterations for complex \(q\)-Bernstein polynomials. Zbl 1274.30148Gal, Sorin G. 6 2011 Approximation of fuzzy numbers by nonlinear Bernstein operators of max-product kind. Zbl 1254.26037Coroianu, Lucian; Gal, Sorin G.; Bede, Barnabás 3 2011 Approximation by max-product Lagrange interpolation operators. Zbl 1249.41002Coroianu, Lucian; Gal, Sorin G. 2 2011 Approximation by complex potentials generated by the gamma function. Zbl 1227.30033Gal, Sorin G. 2 2011 Approximation by nonlinear Lagrange interpolation operators of max-product kind on Chebyshev knots of second kind. Zbl 1223.41001Coroianu, Lucian; Gal, Sorin G. 2 2011 Approximation by max-product type nonlinear operators. Zbl 1249.41039Gal, Sorin G. 1 2011 Quantitative estimates in the overconvergence of some complex multivariate generalized singular integrals in polystrips. Zbl 1229.41022Anastassiou, George A.; Gal, Sorin G. 1 2011 Solutions of fuzzy differential equations based on generalized differentiability. Zbl 1200.34003Bede, Barnabás; Gal, Sorin G. 32 2010 ...and 96 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 949 Authors 93 Gal, Sorin Gheorghe 39 Allahviranloo, Tofigh 36 Costarelli, Danilo 35 Anastassiou, George Angelos 32 Vinti, Gianluca 26 Chalco-Cano, Yurilev 26 Gupta, Vijay 25 Salahshour, Soheil 19 Coroianu, Lucian C. 19 Ezzati, Reza 17 Bede, Barnabás 16 Ahmadian, Ali 16 Khastan, Alireza 15 Agrawal, Purshottam Narain 15 Ngo Van Hoa 15 Ziari, Shokrollah 14 Abbasbandy, Saeid 14 Gong, Zengtai 14 Mahmudov, Nazim Idrisoglu 14 Rodríguez-López, Rosana 13 Bica, Alexandru Mihai 13 Duman, Oktay 12 Băleanu, Dumitru I. 12 De Barros, Laécio Carvalho 12 Mantellini, Ilaria 11 Bardaro, Carlo 10 Fard, Omid Solaymani 10 İspir, Nurhayat 10 Román-Flores, Heriberto E. 10 Sabadini, Irene 9 Braha, Naim Latif 9 Melliani, Said 9 Mursaleen, Mohammad 9 Nguyen Dinh Phu 9 Niculescu, Constantin P. 9 Nieto Roig, Juan Jose 8 Agarwal, Ravi P. 8 O’Regan, Donal 8 Rufián-Lizana, Antonio 8 Son, Nguyen Thi Kim 7 Agratini, Octavian 7 Angeloni, Laura 7 Çetin, Nursel 7 Esmi, Estevão Laureano 7 Kadak, Ugur 7 Kajla, Arun 7 Lodwick, Weldon Alexander 7 Mondal, Sankar Prasad 7 Osuna-Gómez, Rafaela 7 Shao, Yabin 6 Acar, Tuncer 6 Al-Smadi, Mohammed H. 6 Alikhani, Robab 6 Armand, Atefeh 6 Bahrami, Fariba 6 Chadli, Lalla Saadia 6 Long, Hoang Viet 6 Lupulescu, Vasile 6 Malinowski, Marek T. 6 Mezei, Razvan A. 6 Sadatrasoul, S. M. 6 Shen, Yonghong 6 Stefanini, Luciano 6 Trynin, Aleksandr Yur’evich 6 Vu, Ho 6 Yavuz, Enes 5 Acu, Ana Maria 5 Amrahov, Sahin Emrah 5 Arqub, Omar Abu 5 Bidgoli, Tayebeh Aliabdoli 5 Gal, Ciprian Gheorghe Sorin 5 Gasilov, Nizami A. 5 Ghosh, Debdas 5 Popescu, Constantin 5 Qiu, Dong 5 Sambucini, Anna Rita 5 Srivastava, Hari Mohan 5 Suleiman, Mohamed Bin 5 Yıldız Özkan, Esma 4 Ahmad, Bakhtiar 4 Aral, Ali 4 Colombo, Fabrizio 4 Doğru, Ogün 4 Dong, Nguyen Phuong 4 ElJaoui, ElHassan 4 Fariborzi Araghi, Mohammad Ali 4 Fatullayev, Afet Golayoglu 4 Gavrea, Bogdan I. 4 Gavrea, Ioan 4 Goldstein, Jerome Arthur 4 Hernández-Jiménez, Beatriz 4 Holhoş, Adrian 4 Mishra, Vishnu Narayan 4 Ostrovska, Sofiya 4 Pedrycz, Witold 4 Perfilieva, Irina G. 4 Ren, Guangbin 4 Samadpour Khalifeh Mahaleh, Vahid 4 Santo Pedro, Francielle 4 Seracini, Marco ...and 849 more Authors all top 5 Cited in 213 Serials 105 Fuzzy Sets and Systems 49 Soft Computing 36 Results in Mathematics 30 Information Sciences 30 Advances in Difference Equations 25 Applied Mathematics and Computation 23 Computers & Mathematics with Applications 23 Computational and Applied Mathematics 21 Advances in Applied Clifford Algebras 18 Abstract and Applied Analysis 18 Journal of Intelligent and Fuzzy Systems 16 Complex Analysis and Operator Theory 15 Journal of Inequalities and Applications 15 Mediterranean Journal of Mathematics 14 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. 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Series S 2 Annals of Functional Analysis 2 Fuzzy Information and Engineering 2 Journal of Classical Analysis 2 Journal of Applied Nonlinear Dynamics 2 Applied Mathematics and Nonlinear Sciences 2 Bollettino dell’Unione Matematica Italiana ...and 113 more Serials all top 5 Cited in 51 Fields 335 Approximations and expansions (41-XX) 240 Ordinary differential equations (34-XX) 191 Real functions (26-XX) 132 Functions of a complex variable (30-XX) 116 Numerical analysis (65-XX) 89 Operator theory (47-XX) 86 Integral equations (45-XX) 46 Measure and integration (28-XX) 40 Mathematical logic and foundations (03-XX) 39 Partial differential equations (35-XX) 38 Sequences, series, summability (40-XX) 35 Functional analysis (46-XX) 26 Operations research, mathematical programming (90-XX) 25 Information and communication theory, circuits (94-XX) 24 Integral transforms, operational calculus (44-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 19 Systems theory; control (93-XX) 18 Special functions (33-XX) 15 Probability theory and stochastic processes (60-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 12 General topology (54-XX) 11 Biology and other natural sciences (92-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Computer science (68-XX) 9 Number theory (11-XX) 8 Combinatorics (05-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Difference and functional equations (39-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Abstract harmonic analysis (43-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Differential geometry (53-XX) 4 Fluid mechanics (76-XX) 3 Convex and discrete geometry (52-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Potential theory (31-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Global analysis, analysis on manifolds (58-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 Geophysics (86-XX) Citations by Year