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## Agratini, Octavian

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 Author ID: agratini.octavian Published as: Agratini, O.; Agratini, Octavian External Links: ORCID
 Documents Indexed: 91 Publications since 1985, including 4 Books
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#### Co-Authors

 67 single-authored 4 Coman, Gheorghe 3 Abel, Ulrich 3 Blaga, Petru P. 3 Trîmbiţaş, Radu Tiberiu 2 Gupta, Vijay 2 Radu, Cristina 2 Rus, Ioan A. 2 Tarabie, Saddika 1 Andrica, Tudor 1 Aral, Ali 1 Blage, Petru 1 Chiorean, Ioana 1 Della Vecchia, Biancamaria 1 Deniz, Emre 1 Doğru, Ogün 1 Gal, Sorin Gheorghe 1 Nowak, Grzegorz 1 Păltănea, Radu 1 Stancu, Dimitrie D. 1 Zeng, Xiaoming
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#### Serials

 10 Studia Universitatis Babeş-Bolyai. Mathematica 5 Positivity 4 Revue d’Analyse Numérique et de Théorie de l’Approximation 3 Applied Mathematics and Computation 2 Rocky Mountain Journal of Mathematics 2 Numerical Functional Analysis and Optimization 2 Studia Scientiarum Mathematicarum Hungarica 2 Facta Universitatis. Series Mathematics and Informatics 2 East Journal on Approximations 2 Mediterranean Journal of Mathematics 2 Carpathian Journal of Mathematics 1 Analele Universităţii Bucureşti. Matematică-Informatică 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Mathematical Methods in the Applied Sciences 1 Chaos, Solitons and Fractals 1 Archivum Mathematicum 1 Commentationes Mathematicae Universitatis Carolinae 1 Conferenze del Seminario di Matematica dell’Università di Bari 1 Demonstratio Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Revista de la Unión Matemática Argentina 1 Acta Mathematica Hungarica 1 Applied Mathematics Letters 1 Mathematica Balkanica. New Series 1 Mathematical and Computer Modelling 1 Mathematica Pannonica 1 Numerical Algorithms 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Mathematica 1 Buletinul Ştiinţific al Universităţii Baia Mare. Seria B 1 PU.M.A. Pure Mathematics and Applications 1 General Mathematics 1 Filomat 1 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 “Babeş-Bolyai” University. Faculty of Mathematics and Computer Science. Research Seminars. Preprint 1 Studii şi Cercetări Ştiinţifice. Seria: Matematică 1 Mathematical Inequalities & Applications 1 The Korean Journal of Computational & Applied Mathematics 1 Nonlinear Analysis Forum 1 Mathematical Notes (Miskolc) 1 Nihonkai Mathematical Journal 1 Central European Journal of Mathematics 1 Hacettepe Journal of Mathematics and Statistics 1 Analysis and Mathematical Physics 1 Constructive Mathematical Analysis
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#### Fields

 84 Approximations and expansions (41-XX) 7 Operator theory (47-XX) 5 Real functions (26-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Numerical analysis (65-XX) 4 History and biography (01-XX) 2 Sequences, series, summability (40-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

44 Publications have been cited 215 times in 173 Documents Cited by Year
Linear operators that preserve some test functions. Zbl 1121.41018
Agratini, Octavian
2006
On certain $$q$$-analogues of the Bernstein operators. Zbl 1249.41055
Agratini, Octavian
2008
On a sequence of linear and positive operators. Zbl 0999.41014
Agratini, Octavian
1999
On the iterates of a class of summation-type linear positive operators. Zbl 1151.41013
Agratini, Octavian
2008
Weighted approximation by $$q$$-Szász-King type operators. Zbl 1216.41016
Agratini, Octavian; Doğru, Ogün
2010
Iterates of a class of discrete linear operators via contraction principle. Zbl 1096.41015
Agratini, Octavian; Rus, Ioan A.
2003
An approximation process of Kantorovich type. Zbl 0981.41015
Agratini, Octavian
2001
Approximation properties of a class of linear operators. Zbl 1280.41020
Agratini, Octavian
2013
On the variation detracting property of a class of operators. Zbl 1176.41027
Agratini, Octavian
2006
Korovkin type error estimates for Meyer-König and Zeller operators. Zbl 0974.41015
Agratini, Octavian
2001
On a generalization of Bleimann, Butzer and Hahn operators based on $$q$$-integers. Zbl 1217.33033
Agratini, Octavian; Nowak, Grzegorz
2011
On a $$q$$-analogue of Stancu operators. Zbl 1185.41018
Agratini, Octavian
2010
On a class of linear positive bivariate operators of King type. Zbl 1164.41337
Agratini, Octavian
2006
On the variation detracting property of operators of Balázs and Szabados. Zbl 1399.41037
Abel, U.; Agratini, O.
2016
Statistical convergence of a non-positive approximation process. Zbl 1278.41010
Agratini, Octavian
2011
On approximation properties of Balázs-Szabados operators and their Kantorovich extension. Zbl 0997.41014
Agratini, Octavian
2002
On the rate of convergence of a positive approximation process. Zbl 0998.41014
Agratini, Octavian
2000
Approximation properties of a generalization of Bleimann, Butzer and Hahn operators. Zbl 0928.41016
Agratini, Octavian
1998
On an approximation process of integral type. Zbl 1334.41022
Agratini, Octavian
2014
Bivariate positive operators in polynomial weighted spaces. Zbl 1279.41006
Agratini, Octavian
2013
On $$q$$-Baskakov-Mastroianni operators. Zbl 1251.41009
2012
On statistical approximation in spaces of continuous functions. Zbl 1179.41023
Agratini, Octavian
2009
On two classes of approximation processes of integral type. Zbl 1377.41011
Agratini, Octavian; Aral, Ali; Deniz, Emre
2017
Asymptotic behaviour of Jain operators. Zbl 1347.41025
Abel, Ulrich; Agratini, Octavian
2016
On a certain class of approximation operators. Zbl 0980.41021
Agratini, Octavian
2000
Properties of discrete non-multiplicative operators. Zbl 07074213
Agratini, Octavian
2019
Statistical convergence of integral operators generated by a single kernel. Zbl 1243.41007
Agratini, Octavian
2012
An asymptotic formula for a class of approximation processes of King’s type. Zbl 1240.41059
Agratini, Octavian
2010
Mastroianni operators revisited. Zbl 1120.41304
Agratini, Octavian; Della Vecchia, Biancamaria
2004
Iterates of some bivariate approximation process via weakly Picard operators. Zbl 1206.41021
Agratini, Octavian; Rus, Ioan A.
2003
On the convergence of a truncated class of operators. Zbl 1064.41015
Agratini, Octavian
2003
Numerical analysis and approximation theory. Vol. I. Zbl 1020.65002
Stancu, Dimitrie D.; Coman, Gheorghe; Agratini, Octavian; Trîmbiţaş, Radu
2001
Binomial polynomials and their applications in approximation theory. Zbl 1008.05010
Agratini, Octavian
2001
On a problem of A. Lupaş. Zbl 1052.41516
Agratini, Octavian
1998
Kantorovich-type operators preserving affine functions. Zbl 1370.41036
Agratini, Octavian
2016
Uniform approximation of some classes of linear positive operators expressed by series. Zbl 1318.41012
Agratini, Octavian
2015
An extension based on $$qR$$-integral for a sequence of operators. Zbl 1232.41019
2011
Discrete approximation processes of King’s type. Zbl 1183.41025
Agratini, Octavian; Andrica, Tudor
2010
On approximation of functions by positive linear operators. Zbl 1174.41334
Agratini, Octavian
2006
On the rate of convergence of some integral operators for functions of bounded variation. Zbl 1083.41014
Agratini, O.
2005
A generalization of Durrmeyer-type polynomials and their approximation properties. Zbl 1086.41007
Agratini, Octavian
2004
On some Bernstein type operators: iterates and generalizations. Zbl 1111.41014
Agratini, Octavian
2003
Note on a class of operators on infinite interval. Zbl 0969.41012
Agratini, Octavian
1999
Linear combinations of D. D. Stancu polynomials. Zbl 1007.41018
Agratini, Octavian
1998
Properties of discrete non-multiplicative operators. Zbl 07074213
Agratini, Octavian
2019
On two classes of approximation processes of integral type. Zbl 1377.41011
Agratini, Octavian; Aral, Ali; Deniz, Emre
2017
On the variation detracting property of operators of Balázs and Szabados. Zbl 1399.41037
Abel, U.; Agratini, O.
2016
Asymptotic behaviour of Jain operators. Zbl 1347.41025
Abel, Ulrich; Agratini, Octavian
2016
Kantorovich-type operators preserving affine functions. Zbl 1370.41036
Agratini, Octavian
2016
Uniform approximation of some classes of linear positive operators expressed by series. Zbl 1318.41012
Agratini, Octavian
2015
On an approximation process of integral type. Zbl 1334.41022
Agratini, Octavian
2014
Approximation properties of a class of linear operators. Zbl 1280.41020
Agratini, Octavian
2013
Bivariate positive operators in polynomial weighted spaces. Zbl 1279.41006
Agratini, Octavian
2013
On $$q$$-Baskakov-Mastroianni operators. Zbl 1251.41009
2012
Statistical convergence of integral operators generated by a single kernel. Zbl 1243.41007
Agratini, Octavian
2012
On a generalization of Bleimann, Butzer and Hahn operators based on $$q$$-integers. Zbl 1217.33033
Agratini, Octavian; Nowak, Grzegorz
2011
Statistical convergence of a non-positive approximation process. Zbl 1278.41010
Agratini, Octavian
2011
An extension based on $$qR$$-integral for a sequence of operators. Zbl 1232.41019
2011
Weighted approximation by $$q$$-Szász-King type operators. Zbl 1216.41016
Agratini, Octavian; Doğru, Ogün
2010
On a $$q$$-analogue of Stancu operators. Zbl 1185.41018
Agratini, Octavian
2010
An asymptotic formula for a class of approximation processes of King’s type. Zbl 1240.41059
Agratini, Octavian
2010
Discrete approximation processes of King’s type. Zbl 1183.41025
Agratini, Octavian; Andrica, Tudor
2010
On statistical approximation in spaces of continuous functions. Zbl 1179.41023
Agratini, Octavian
2009
On certain $$q$$-analogues of the Bernstein operators. Zbl 1249.41055
Agratini, Octavian
2008
On the iterates of a class of summation-type linear positive operators. Zbl 1151.41013
Agratini, Octavian
2008
Linear operators that preserve some test functions. Zbl 1121.41018
Agratini, Octavian
2006
On the variation detracting property of a class of operators. Zbl 1176.41027
Agratini, Octavian
2006
On a class of linear positive bivariate operators of King type. Zbl 1164.41337
Agratini, Octavian
2006
On approximation of functions by positive linear operators. Zbl 1174.41334
Agratini, Octavian
2006
On the rate of convergence of some integral operators for functions of bounded variation. Zbl 1083.41014
Agratini, O.
2005
Mastroianni operators revisited. Zbl 1120.41304
Agratini, Octavian; Della Vecchia, Biancamaria
2004
A generalization of Durrmeyer-type polynomials and their approximation properties. Zbl 1086.41007
Agratini, Octavian
2004
Iterates of a class of discrete linear operators via contraction principle. Zbl 1096.41015
Agratini, Octavian; Rus, Ioan A.
2003
Iterates of some bivariate approximation process via weakly Picard operators. Zbl 1206.41021
Agratini, Octavian; Rus, Ioan A.
2003
On the convergence of a truncated class of operators. Zbl 1064.41015
Agratini, Octavian
2003
On some Bernstein type operators: iterates and generalizations. Zbl 1111.41014
Agratini, Octavian
2003
On approximation properties of Balázs-Szabados operators and their Kantorovich extension. Zbl 0997.41014
Agratini, Octavian
2002
An approximation process of Kantorovich type. Zbl 0981.41015
Agratini, Octavian
2001
Korovkin type error estimates for Meyer-König and Zeller operators. Zbl 0974.41015
Agratini, Octavian
2001
Numerical analysis and approximation theory. Vol. I. Zbl 1020.65002
Stancu, Dimitrie D.; Coman, Gheorghe; Agratini, Octavian; Trîmbiţaş, Radu
2001
Binomial polynomials and their applications in approximation theory. Zbl 1008.05010
Agratini, Octavian
2001
On the rate of convergence of a positive approximation process. Zbl 0998.41014
Agratini, Octavian
2000
On a certain class of approximation operators. Zbl 0980.41021
Agratini, Octavian
2000
On a sequence of linear and positive operators. Zbl 0999.41014
Agratini, Octavian
1999
Note on a class of operators on infinite interval. Zbl 0969.41012
Agratini, Octavian
1999
Approximation properties of a generalization of Bleimann, Butzer and Hahn operators. Zbl 0928.41016
Agratini, Octavian
1998
On a problem of A. Lupaş. Zbl 1052.41516
Agratini, Octavian
1998
Linear combinations of D. D. Stancu polynomials. Zbl 1007.41018
Agratini, Octavian
1998
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#### Cited by 152 Authors

 14 Agratini, Octavian 14 Gupta, Vijay 13 Doğru, Ogün 10 Acu, Ana Maria 10 Ostrovska, Sofiya 9 Agrawal, Purshottam Narain 9 Muraru, Carmen Violeta 7 Mishra, Vishnu Narayan 6 Aral, Ali 6 Goyal, Meenu 6 Karsli, Harun 6 Mahmudov, Nazim Idrisoglu 6 Örkcü, Mediha 5 Bărbosu, Dan 5 Bardaro, Carlo 5 Kajla, Arun 5 Mantellini, Ilaria 5 Ozarslan, Mehmet Ali 4 Angeloni, Laura 4 Birou, Marius Mihai 4 Costarelli, Danilo 4 Duman, Oktay 4 Gavrea, Ioan 4 İspir, Nurhayat 4 Ivan, Mircea Dumitru 4 Özban, Ahmet Yasar 4 Patel, Prashantkumar G. 4 Taşdelen, Fatma 4 Vinti, Gianluca 3 Abel, Ulrich 3 Acar, Tuncer 3 Bascanbaz-Tunca, Gulen 3 Deniz, Emre 3 Izgi, Aydın 3 Radu, Voichiţa Adriana 3 Ren, Meiying 3 Sharma, Preeti 3 Soylemez, Dilek 3 Zeng, Xiaoming 2 Aktuglu, Huseyin 2 Ansari, Khursheed Jamal 2 Boccuto, Antonio 2 Bustamante González, Jorge 2 Deo, Naokant 2 Dhamija, Minakshi 2 Dimitriou, Xenofon 2 Erençin, Ayşegül 2 Finta, Zoltán 2 Gal, Sorin Gheorghe 2 Garrancho, Pedro 2 Govil, Narendra Kumar 2 Kang, Shin Min 2 Kwun, Young Chel 2 Mishra, Lakshmi Narayan 2 Mursaleen, Mohammad 2 Pop, Ovidiu T. 2 Radu, Cristina 2 Rafiq, Arif 2 Rasa, Ioan 2 Taş, Emre 2 Taşdelen Yeşildal, Fatma 2 Yadav, Rani 2 Yuksel, Ismet 2 Yurdakadim, Tuğba 1 Abay Tok, Merve 1 Ali Özarslan, M. 1 Ali, Faisal 1 Altin, Abdullah 1 Altin, Birol 1 Altundag, Selma 1 Anastassiou, George Angelos 1 Ari, Didem Aydin 1 Bhardwaj, Neeraj 1 Cai, Qingbo 1 Cappelletti Montano, Mirella 1 Cárdenas-Morales, Daniel 1 Cătinaş, Teodora 1 Çekım, Bayram 1 Çetin, Nursel 1 Çiçek, Harun 1 Costabile, Francesco Aldo 1 Dalmanoğlu, Özge 1 Deepmala, Vandana 1 Deo, Narsing 1 Deshwal, Sheetal 1 Dinlemez Kantar, Ülkü 1 Dinlemez, Ülkü 1 Erbay, Hasan 1 Gairola, Asha Ram 1 Garg, Tarul 1 Gülsün, Aslıhan 1 Gupta, Pooja 1 Gupta, Vijay 1 Gwóźdź-Łukawska, Gertruda 1 Holhoş, Adrian 1 Hua, Dingli 1 Huang, Yongdong 1 Ilarslan, H. Gül Ince 1 İnce İlarslan, Hatice Gül 1 Indrea, Adrian D. ...and 52 more Authors
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#### Cited in 58 Serials

 22 Applied Mathematics and Computation 10 Abstract and Applied Analysis 8 Mediterranean Journal of Mathematics 7 Journal of Mathematical Analysis and Applications 7 Results in Mathematics 7 Mathematical and Computer Modelling 7 Positivity 5 Journal of Inequalities and Applications 5 Central European Journal of Mathematics 4 Computers & Mathematics with Applications 4 Demonstratio Mathematica 4 Journal of Mathematical Inequalities 4 Journal of Function Spaces 4 Constructive Mathematical Analysis 3 Mathematical Methods in the Applied Sciences 3 Mathematica Slovaca 3 Applied Mathematics Letters 3 Numerical Algorithms 3 Georgian Mathematical Journal 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Bollettino dell’Unione Matematica Italiana 2 Rocky Mountain Journal of Mathematics 2 Journal of Approximation Theory 2 Journal of Computational and Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Turkish Journal of Mathematics 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Analysis in Theory and Applications 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Analysis and Mathematical Physics 2 Journal of Calculus of Variations 1 Applicable Analysis 1 Chaos, Solitons and Fractals 1 Acta Mathematica Vietnamica 1 Czechoslovak Mathematical Journal 1 Acta Mathematica Hungarica 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Lobachevskii Journal of Mathematics 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Applied Mathematics E-Notes 1 Journal of Applied Mathematics 1 Journal of Function Spaces and Applications 1 Advances in Difference Equations 1 Sarajevo Journal of Mathematics 1 Proyecciones 1 Applicable Analysis and Discrete Mathematics 1 Banach Journal of Mathematical Analysis 1 Asian-European Journal of Mathematics 1 Tbilisi Mathematical Journal 1 Bulletin of Mathematical Analysis and Applications 1 Annals of Functional Analysis 1 Eurasian Mathematical Journal 1 Journal of Classical Analysis 1 Journal of Mathematics 1 Cogent Mathematics
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#### Cited in 22 Fields

 159 Approximations and expansions (41-XX) 16 Operator theory (47-XX) 12 Real functions (26-XX) 10 Sequences, series, summability (40-XX) 9 Functions of a complex variable (30-XX) 6 Special functions (33-XX) 5 Numerical analysis (65-XX) 3 Integral transforms, operational calculus (44-XX) 3 Functional analysis (46-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)