Edit Profile (opens in new tab) Duman, Oktay Co-Author Distance Author ID: duman.oktay Published as: Duman, Oktay; Duman, O. Homepage: http://oduman.etu.edu.tr/ External Links: MGP · ORCID Documents Indexed: 115 Publications since 2003, including 1 Book 7 Contributions as Editor Co-Authors: 40 Co-Authors with 99 Joint Publications 1,444 Co-Co-Authors all top 5 Co-Authors 18 single-authored 21 Anastassiou, George Angelos 11 Ozarslan, Mehmet Ali 9 Erkuş-Duman, Esra 6 Orhan, Cihan 5 Aslan, Ismail 5 Demirci, Kamil 5 Doğru, Ogün 5 Erkus, Esra 4 Burgin, Mark 4 Della Vecchia, Biancamaria 4 Merdan, Hüseyin 3 Celik, Canan 3 Gökçer, Türkan Yeliz 3 Karakus, Sevda 3 Ocalan, Ozkan 2 Aktuglu, Huseyin 2 Dirik, Fadime 2 Gupta, Vijay 2 Orchan, C. 2 Srivastava, Hari Mohan 1 Alemdar, Meryem Ece 1 Ali Özarslan, M. 1 Aral, Ali 1 Atlihan, Özlem Girgin 1 Bohner, Martin J. 1 Ergür, Alperen Ali 1 Gadjiev, Akif Djafar oglu 1 Ghorbanalizadeh, Arash M. 1 Gürcan, Mehmet 1 Kaanoğlu, Cem 1 Kester, Merve 1 Khan, Mohammad Kazim 1 Küçük, Nisa 1 Mahmudov, Nazim Idrisoglu 1 Özarslan, Ali 1 Turan, Ceylan 1 Turkun, Can 1 Ünal, Zafer 1 Ünver, Mehmet 1 Yalçın, Ceylan Turan all top 5 Serials 8 Chaos, Solitons and Fractals 6 Applied Mathematics Letters 5 Publicationes Mathematicae Debrecen 5 Studia Scientiarum Mathematicarum Hungarica 5 Journal of Computational Analysis and Applications 3 Computers & Mathematics with Applications 3 Journal of Mathematical Analysis and Applications 3 Calcolo 3 Czechoslovak Mathematical Journal 3 Results in Mathematics 3 Stochastic Analysis and Applications 3 Mathematical and Computer Modelling 3 Turkish Journal of Mathematics 3 Serdica Mathematical Journal 3 Positivity 3 Taiwanese Journal of Mathematics 3 Hacettepe Journal of Mathematics and Statistics 3 Mediterranean Journal of Mathematics 3 Miskolc Mathematical Notes 3 Journal of Concrete and Applicable Mathematics 2 Periodica Mathematica Hungarica 2 Studia Mathematica 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Fuzzy Sets and Systems 2 Numerical Functional Analysis and Optimization 2 Filomat 2 Journal of Intelligent and Fuzzy Systems 2 Journal of Applied Functional Analysis 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Springer Proceedings in Mathematics & Statistics 1 Canadian Mathematical Bulletin 1 Demonstratio Mathematica 1 Journal of Computational and Applied Mathematics 1 Matematički Vesnik 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Studia Universitatis Babeș-Bolyai. Mathematica 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Revue d’Analyse Numérique et de Théorie de l’Approximation 1 Integral Transforms and Special Functions 1 Differential Equations and Dynamical Systems 1 Mathematical Inequalities & Applications 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 1 Nonlinear Functional Analysis and Applications 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Central European Journal of Mathematics 1 Journal of Function Spaces and Applications 1 Intelligent Systems Reference Library 1 Journal of Mathematical Analysis 1 Advances in Intelligent Systems and Computing 1 Electronic Journal of Mathematical Analysis and Applications EJMAA 1 Constructive Mathematical Analysis all top 5 Fields 93 Approximations and expansions (41-XX) 36 Sequences, series, summability (40-XX) 13 Real functions (26-XX) 13 Operator theory (47-XX) 9 Statistics (62-XX) 8 Difference and functional equations (39-XX) 7 General and overarching topics; collections (00-XX) 7 Numerical analysis (65-XX) 6 Functions of a complex variable (30-XX) 5 Integral equations (45-XX) 5 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 98 Publications have been cited 1,097 times in 599 Documents Cited by ▼ Year ▼ \(A\)-statistical convergence of approximating operators. Zbl 1086.41008Duman, O.; Khan, M. K.; Orhan, C. 72 2003 Statistical approximation by positive linear operators. Zbl 1049.41016Duman, O.; Orhan, C. 65 2004 Allee effect in a discrete-time predator-prey system. Zbl 1198.34084Çelik, Canan; Duman, Oktay 57 2009 Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials. Zbl 1103.41024Erkuş, Esra; Duman, Oktay; Srivastava, H. M. 46 2006 Szász-Mirakjan type operators providing a better error estimation. Zbl 1182.41022Duman, Oktay; Özarslan, M. Ali 44 2007 Equi-statistical convergence of positive linear operators. Zbl 1131.41008Karakuş, Sevda; Demirci, Kamil; Duman, Oktay 34 2008 Statistical approximation results for Kantorovich-type operators involving some special polynomials. Zbl 1145.40300Özarslan, M. Ali; Duman, Oktay; Srivastava, H. M. 32 2008 \(\mu \)-statistically convergent function sequences. Zbl 1080.40501Duman, O.; Orhan, C. 31 2004 Statistical approximation of Meyer-König and Zeller operators based on \(q\)-integers. Zbl 1097.41004Doğru, O.; Duman, O. 31 2006 Statistical convergence on intuitionistic fuzzy normed spaces. Zbl 1139.54006Karakus, S.; Demirci, K.; Duman, O. 29 2008 Modified Szász-Mirakjan-Kantorovich operators preserving linear functions. Zbl 1175.41015Duman, Oktay; Özarslan, Mehmet Alý; Della Vecchia, Biancamaria 26 2009 Statistical rates on the multivariate approximation theory. Zbl 1132.41330Duman, Oktay; Erkuş, Esra; Gupta, Vijay 23 2006 Towards intelligent modeling: statistical approximation theory. Zbl 1295.41001Anastassiou, George A.; Duman, Oktay 23 2011 A Baskakov type generalization of statistical Korovkin theory. Zbl 1133.41004Anastassiou, George A.; Duman, Oktay 20 2008 MKZ type operators providing a better estimation on \([1/2,1)\). Zbl 1132.41318Özarslan, M. Ali; Duman, Oktay 19 2007 Statistical fuzzy approximation by fuzzy positive linear operators. Zbl 1155.41314Anastassiou, George A.; Duman, Oktay 19 2008 Statistical approximation by positive linear operators on modular spaces. Zbl 1193.41014Karakuş, Sevda; Demirci, Kamil; Duman, Oktay 18 2010 Allee effects on population dynamics with delay. Zbl 1137.92364Çelik, C.; Merdan, H.; Duman, O.; Akın, Ö. 18 2008 Rates of convergence of certain King-type operators for functions with derivative of bounded variation. Zbl 1201.41004Özarslan, M. Ali; Duman, Oktay; Kaanoğlu, Cem 18 2010 \(A\)-statistical extension of the Korovkin type approximation theorem. Zbl 1085.41017Erkuş, Esra; Duman, Oktay 18 2005 Local approximation behavior of modified SMK operators. Zbl 1224.41056Özarslan, M. Ali; Duman, Oktay 17 2010 Rates of \(A\)-statistical convergence of positive linear operators. Zbl 1085.41012Duman, O.; Orhan, C. 17 2005 Korovkin theorems on weighted spaces: revisited. Zbl 1399.41039Atlihan, Özlem Girgin; Ünver, Mehmet; Duman, Oktay 17 2017 Statistical approximation theorems by \(k\)-positive linear operators. Zbl 1100.41012Duman, Oktay 15 2006 A Korovkin type approximation theorem in statistical sense. Zbl 1108.41012Erkuş, Esra; Duman, Oktay 15 2006 Approximation by nonlinear integral operators via summability process. Zbl 07198947Aslan, Ismail; Duman, Oktay 14 2020 Better error estimation for Szász-Mirakjan-Beta operators. Zbl 1134.41010Duman, Oktay; Özarslan, Mehmet Ali; Aktuǧlu, Hüseyin 14 2008 Statistical approximation by generalized Meyer-König and Zeller type operators. Zbl 1065.41040Doǧru, O.; Duman, O.; Orchan, C. 14 2003 A Korovkin type approximation theorems via \(\mathcal {I}\)-convergence. Zbl 1174.41004Duman, O. 13 2007 Statistical approximation for periodic functions. Zbl 1065.41041Duman, Oktay 13 2003 \(A\)-statistical convergence of sequences of convolution operators. Zbl 1348.41019Duman, Oktay 12 2008 Smoothness properties of modified Bernstein-Kantorovich operators. Zbl 1337.41012Özarslan, Mehmet Ali; Duman, Oktay 12 2016 An abstract version of the Korovkin approximation theorem. Zbl 1121.41012Duman, Oktay; Orhan, Cihan 11 2006 Allee effects on population dynamics in continuous (overlapping) case. Zbl 1197.37119Merdan, H.; Duman, O.; Akın, Ö.; Çelik, C. 9 2009 Opial-type inequalities for diamond-alpha derivatives and integrals on time scales. Zbl 1205.26049Bohner, Martin; Duman, Oktay 9 2010 Rates of \(A\)-statistical convergence of approximating operators. Zbl 1104.41018Özarslan, M. A.; Duman, O.; Doğru, O. 9 2005 Bernstein-Durrmeyer type operators preserving linear functions. Zbl 1265.41044Gupta, Vijay; Duman, Oktay 9 2010 Summability on Mellin-type nonlinear integral operators. Zbl 1436.41013Aslan, Ismail; Duman, Oktay 9 2019 Approximation by max-min operators: a general theory and its applications. Zbl 1452.41012Gökçer, Türkan Yeliz; Duman, Oktay 9 2020 Summation process by max-product operators. Zbl 1355.41017Gökçer, Türkan Yeliz; Duman, Oktay 9 2016 Approximation in statistical sense to \(B\)-continuous functions by positive linear operators. Zbl 1274.41025Dirik, Fadime; Duman, Oktay; Demirci, Kamil 8 2010 Rates of \(A\)-statistical convergence of operators in the space of locally integrable functions. Zbl 1147.41004Duman, O.; Orhan, C. 8 2008 On the stability analysis of a general discrete-time population model involving predation and Allee effects. Zbl 1197.39009Merdan, H.; Duman, O. 8 2009 A summability process on Baskakov-type approximation. Zbl 1389.40021Aslan, İsmail; Duman, Oktay 8 2016 Fundamental properties of statistical convergence and lacunary statistical convergence on time scales. Zbl 1499.40081Turan, Ceylan; Duman, Oktay 8 2017 Modified neural network operators and their convergence properties with summability methods. Zbl 1440.41011Turkun, Can; Duman, Oktay 7 2020 A new approach in obtaining a better estimation in approximation by positive linear operators. Zbl 1196.41010Özarslan, M. Ali; Duman, Oktay 7 2009 Approximation of continuous periodic functions via statistical convergence. Zbl 1148.41023Duman, O.; Erkuş, E. 7 2006 Rates of ideal convergence for approximation operators. Zbl 1200.41022Duman, Oktay; Özarslan, Mehmet Ali; Erkuş-Duman, Esra 7 2010 Approximation theorems by Meyer-König and Zeller type operators. Zbl 1198.41014Özarslan, M. Ali; Duman, Oktay 7 2009 Stability analysis of continuous population model involving predation and Allee effect. Zbl 1198.34138Duman, O.; Merdan, H. 7 2009 Statistical convergence of max-product approximating operators. Zbl 1204.26050Duman, Oktay 7 2010 Statistical approximation properties of high order operators constructed with the Chan-Chyan-Srivastava polynomials. Zbl 1236.41018Erkuş-Duman, Esra; Duman, Oktay 7 2011 Integral-type generalizations of operators obtained from certain multivariate polynomials. Zbl 1142.41005Erkuş-Duman, Esra; Duman, O. 6 2008 Advances in applied mathematics and approximation theory. Contributions from AMAT 2012 – International conference on applied mathematics and approximation theory, Ankara, Turkey, May 17–20, 2012. Zbl 1264.00039 5 2013 Local approximation results for Szász-Mirakjan type operators. Zbl 1139.41002Özarslan, Mehmet Ali; Duman, Oktay 5 2008 Nonlinear approximation in \(N\)-dimension with the help of summability methods. Zbl 07358920Aslan, Ismail; Duman, Oktay 5 2021 Regular matrix transformations and rates of convergence of positive linear operators. Zbl 1168.41309Duman, O. 4 2007 Statistical convergence of double-complex Picard integral operators. Zbl 1195.65221Anastassiou, George A.; Duman, Oktay 4 2010 On relaxing the positivity condition of linear operators in statistical Korovkin-type approximations. Zbl 1176.41016Anastassiou, George A.; Duman, Oktay 4 2009 On integral type generalizations of positive linear operators. Zbl 1098.41018Duman, O.; Özarslan, M. A.; Doğru, O. 4 2006 Statistical fuzzy convergence. Zbl 1175.26064Burgin, Mark; Duman, Oktay 4 2008 Statistical approximation in the space of locally integrable functions. Zbl 1027.41012Duman, O.; Orchan, C. 4 2003 Matrix summability methods on the approximation of multivariate \(q\)-MKZ operators. Zbl 1231.41014Aktuglu, Hüseyin; Özarslan, Ali; Duman, Oktay 4 2011 Ideal convergence of \(k\)-positive linear operators. Zbl 1243.40019Gadjiev, Akif; Duman, Oktay; Ghorbanalizadeh, A. M. 4 2012 General summability methods in the approximation by Bernstein-Chlodovsky operators. Zbl 1478.40003Alemdar, Meryem Ece; Duman, Oktay 4 2021 Characterization of absolute and uniform continuity. Zbl 1488.26032Aslan, İsmail; Duman, Oktay 3 2020 Complex Shepard operators and their summability. Zbl 1477.30034Duman, Oktay; Della Vecchia, Biancamaria 3 2021 Statistical Korovkin theory for multivariate stochastic processes. Zbl 1193.41028Anastassiou, George A.; Duman, Oktay 3 2010 Statistical \(L_p\)-approximation by double Gauss-Weierstrass singular integral operators. Zbl 1189.41015Anastassiou, George A.; Duman, Oktay 3 2010 A Voronovskaya-type formula for SMK operators via statistical convergence. Zbl 1265.41031Aral, Ali; Duman, Oktay 3 2011 On statistical fuzzy trigonometric Korovkin theory. Zbl 1134.26010Duman, Oktay; Anastassiou, George A. 2 2008 Approximation properties of Poisson integrals for orthogonal expansions. Zbl 1171.41309Özarslan, Mehmet Ali; Duman, Oktay 2 2008 Approximation properties of real and complex post-widder operators based on \(q\)-integers. Zbl 1274.41053Ünal, Zafer; Özarslan, Mehmet Ali; Duman, Oktay 2 2012 Statistical approximation by double Picard singular integral operators. Zbl 1224.41077Anastassiou, George A.; Duman, Oktay 2 2010 Fractional Korovkin theory based on statistical convergence. Zbl 1224.41050Anastassiou, G. A.; Duman, O. 2 2009 Statistical fuzzy approximation to fuzzy differentiable functions by fuzzy linear operators. Zbl 1220.26023Duman, Oktay 2 2010 Global approximation results for modified Szász-Mirakjan operators. Zbl 1229.41015Duman, Oktay; Özarslan, Mehmet Ali 2 2011 Oscillation analysis of neutral difference equations with delays. Zbl 1197.39004Öcalan, Özkan; Duman, Oktay 2 2009 Statistical approximation by double complex Gauss-Weierstrass integral operators. Zbl 1217.47036Anastassiou, George A.; Duman, Oktay 2 2011 Statistical approximation to Bögel-type continuous and periodic functions. Zbl 1179.41011Dirik, Fadime; Duman, Oktay; Demirci, Kamil 2 2009 Global approximation properties of modified SMK operators. Zbl 1265.41030Ali Özarslan, M.; Duman, Oktay 2 2010 Uniform approximation in statistical sense by double Gauss-Weierstrass singular integral operators. Zbl 1248.41036Anastassiou, George A.; Duman, Oktay 2 2010 Summability methods in weighted approximation to derivatives of functions. Zbl 1493.40011Küçük, Nisa; Duman, Oktay 1 2015 Weighted approximation by Meyer-König and Zeller type operators. Zbl 1164.41016Della Vecchia, Biancamaria; Duman, Oktay 1 2007 Higher order generalization of positive linear operators defined by a class of Borel measures. Zbl 1131.41306Duman, Oktay 1 2007 Local approximation properties of modified Baskakov operators. Zbl 1216.41012Özarslan, M. Ali; Duman, Oktay; Mahmudov, Nazım I. 1 2011 Approximations by linear operators in spaces of fuzzy continuous functions. Zbl 1222.41031Burgin, Mark; Duman, Oktay 1 2011 Fuzzy approximation based on statistical rates. Zbl 1224.26092Duman, Oktay 1 2010 Statistical approximation by double Poisson-Cauchy singular integral operators. Zbl 1257.30030Duman, Oktay; Kester, Merve 1 2012 Statistical weighted approximation to derivatives of functions by linear operators. Zbl 1176.41017Anastassiou, George A.; Duman, Oktay 1 2009 Statistical approximation for stochastic processes. Zbl 1175.41021Anastassiou, George A.; Duman, Oktay; Erkuş-Duman, Esra 1 2009 Approximation to integrable functions by modified complex Shepard operators. Zbl 1492.30083Duman, Oktay; Della Vecchia, Biancamaria 1 2022 Statistical Korovkin-type theory for matrix-valued functions. Zbl 1265.41053Duman, Oktay; Erkuş-Duman, Esra 1 2011 The effects of matrix summability methods on bounds of function sequences. Zbl 1057.40003Duman, O. 1 2004 Singular approximation in polydiscs by summability process. Zbl 1351.41017Duman, Oktay 1 2016 Summability process by Mastroianni operators and their generalizations. Zbl 1321.40003Duman, Oktay 1 2015 Nonlinear Bernstein-type operators providing a better error estimation. Zbl 1324.41030Duman, Oktay 1 2014 Approximation to integrable functions by modified complex Shepard operators. Zbl 1492.30083Duman, Oktay; Della Vecchia, Biancamaria 1 2022 Nonlinear approximation in \(N\)-dimension with the help of summability methods. Zbl 07358920Aslan, Ismail; Duman, Oktay 5 2021 General summability methods in the approximation by Bernstein-Chlodovsky operators. Zbl 1478.40003Alemdar, Meryem Ece; Duman, Oktay 4 2021 Complex Shepard operators and their summability. Zbl 1477.30034Duman, Oktay; Della Vecchia, Biancamaria 3 2021 Approximation by nonlinear integral operators via summability process. Zbl 07198947Aslan, Ismail; Duman, Oktay 14 2020 Approximation by max-min operators: a general theory and its applications. Zbl 1452.41012Gökçer, Türkan Yeliz; Duman, Oktay 9 2020 Modified neural network operators and their convergence properties with summability methods. Zbl 1440.41011Turkun, Can; Duman, Oktay 7 2020 Characterization of absolute and uniform continuity. Zbl 1488.26032Aslan, İsmail; Duman, Oktay 3 2020 Summability on Mellin-type nonlinear integral operators. Zbl 1436.41013Aslan, Ismail; Duman, Oktay 9 2019 Korovkin theorems on weighted spaces: revisited. Zbl 1399.41039Atlihan, Özlem Girgin; Ünver, Mehmet; Duman, Oktay 17 2017 Fundamental properties of statistical convergence and lacunary statistical convergence on time scales. Zbl 1499.40081Turan, Ceylan; Duman, Oktay 8 2017 Smoothness properties of modified Bernstein-Kantorovich operators. Zbl 1337.41012Özarslan, Mehmet Ali; Duman, Oktay 12 2016 Summation process by max-product operators. Zbl 1355.41017Gökçer, Türkan Yeliz; Duman, Oktay 9 2016 A summability process on Baskakov-type approximation. Zbl 1389.40021Aslan, İsmail; Duman, Oktay 8 2016 Singular approximation in polydiscs by summability process. Zbl 1351.41017Duman, Oktay 1 2016 Summability methods in weighted approximation to derivatives of functions. Zbl 1493.40011Küçük, Nisa; Duman, Oktay 1 2015 Summability process by Mastroianni operators and their generalizations. Zbl 1321.40003Duman, Oktay 1 2015 Nonlinear Bernstein-type operators providing a better error estimation. Zbl 1324.41030Duman, Oktay 1 2014 Advances in applied mathematics and approximation theory. Contributions from AMAT 2012 – International conference on applied mathematics and approximation theory, Ankara, Turkey, May 17–20, 2012. Zbl 1264.00039 5 2013 Ideal convergence of \(k\)-positive linear operators. Zbl 1243.40019Gadjiev, Akif; Duman, Oktay; Ghorbanalizadeh, A. M. 4 2012 Approximation properties of real and complex post-widder operators based on \(q\)-integers. Zbl 1274.41053Ünal, Zafer; Özarslan, Mehmet Ali; Duman, Oktay 2 2012 Statistical approximation by double Poisson-Cauchy singular integral operators. Zbl 1257.30030Duman, Oktay; Kester, Merve 1 2012 Towards intelligent modeling: statistical approximation theory. Zbl 1295.41001Anastassiou, George A.; Duman, Oktay 23 2011 Statistical approximation properties of high order operators constructed with the Chan-Chyan-Srivastava polynomials. Zbl 1236.41018Erkuş-Duman, Esra; Duman, Oktay 7 2011 Matrix summability methods on the approximation of multivariate \(q\)-MKZ operators. Zbl 1231.41014Aktuglu, Hüseyin; Özarslan, Ali; Duman, Oktay 4 2011 A Voronovskaya-type formula for SMK operators via statistical convergence. Zbl 1265.41031Aral, Ali; Duman, Oktay 3 2011 Global approximation results for modified Szász-Mirakjan operators. Zbl 1229.41015Duman, Oktay; Özarslan, Mehmet Ali 2 2011 Statistical approximation by double complex Gauss-Weierstrass integral operators. Zbl 1217.47036Anastassiou, George A.; Duman, Oktay 2 2011 Local approximation properties of modified Baskakov operators. Zbl 1216.41012Özarslan, M. Ali; Duman, Oktay; Mahmudov, Nazım I. 1 2011 Approximations by linear operators in spaces of fuzzy continuous functions. Zbl 1222.41031Burgin, Mark; Duman, Oktay 1 2011 Statistical Korovkin-type theory for matrix-valued functions. Zbl 1265.41053Duman, Oktay; Erkuş-Duman, Esra 1 2011 Statistical approximation by positive linear operators on modular spaces. Zbl 1193.41014Karakuş, Sevda; Demirci, Kamil; Duman, Oktay 18 2010 Rates of convergence of certain King-type operators for functions with derivative of bounded variation. Zbl 1201.41004Özarslan, M. Ali; Duman, Oktay; Kaanoğlu, Cem 18 2010 Local approximation behavior of modified SMK operators. Zbl 1224.41056Özarslan, M. Ali; Duman, Oktay 17 2010 Opial-type inequalities for diamond-alpha derivatives and integrals on time scales. Zbl 1205.26049Bohner, Martin; Duman, Oktay 9 2010 Bernstein-Durrmeyer type operators preserving linear functions. Zbl 1265.41044Gupta, Vijay; Duman, Oktay 9 2010 Approximation in statistical sense to \(B\)-continuous functions by positive linear operators. Zbl 1274.41025Dirik, Fadime; Duman, Oktay; Demirci, Kamil 8 2010 Rates of ideal convergence for approximation operators. Zbl 1200.41022Duman, Oktay; Özarslan, Mehmet Ali; Erkuş-Duman, Esra 7 2010 Statistical convergence of max-product approximating operators. Zbl 1204.26050Duman, Oktay 7 2010 Statistical convergence of double-complex Picard integral operators. Zbl 1195.65221Anastassiou, George A.; Duman, Oktay 4 2010 Statistical Korovkin theory for multivariate stochastic processes. Zbl 1193.41028Anastassiou, George A.; Duman, Oktay 3 2010 Statistical \(L_p\)-approximation by double Gauss-Weierstrass singular integral operators. Zbl 1189.41015Anastassiou, George A.; Duman, Oktay 3 2010 Statistical approximation by double Picard singular integral operators. Zbl 1224.41077Anastassiou, George A.; Duman, Oktay 2 2010 Statistical fuzzy approximation to fuzzy differentiable functions by fuzzy linear operators. Zbl 1220.26023Duman, Oktay 2 2010 Global approximation properties of modified SMK operators. Zbl 1265.41030Ali Özarslan, M.; Duman, Oktay 2 2010 Uniform approximation in statistical sense by double Gauss-Weierstrass singular integral operators. Zbl 1248.41036Anastassiou, George A.; Duman, Oktay 2 2010 Fuzzy approximation based on statistical rates. Zbl 1224.26092Duman, Oktay 1 2010 Allee effect in a discrete-time predator-prey system. Zbl 1198.34084Çelik, Canan; Duman, Oktay 57 2009 Modified Szász-Mirakjan-Kantorovich operators preserving linear functions. Zbl 1175.41015Duman, Oktay; Özarslan, Mehmet Alý; Della Vecchia, Biancamaria 26 2009 Allee effects on population dynamics in continuous (overlapping) case. Zbl 1197.37119Merdan, H.; Duman, O.; Akın, Ö.; Çelik, C. 9 2009 On the stability analysis of a general discrete-time population model involving predation and Allee effects. Zbl 1197.39009Merdan, H.; Duman, O. 8 2009 A new approach in obtaining a better estimation in approximation by positive linear operators. Zbl 1196.41010Özarslan, M. Ali; Duman, Oktay 7 2009 Approximation theorems by Meyer-König and Zeller type operators. Zbl 1198.41014Özarslan, M. Ali; Duman, Oktay 7 2009 Stability analysis of continuous population model involving predation and Allee effect. Zbl 1198.34138Duman, O.; Merdan, H. 7 2009 On relaxing the positivity condition of linear operators in statistical Korovkin-type approximations. Zbl 1176.41016Anastassiou, George A.; Duman, Oktay 4 2009 Fractional Korovkin theory based on statistical convergence. Zbl 1224.41050Anastassiou, G. A.; Duman, O. 2 2009 Oscillation analysis of neutral difference equations with delays. Zbl 1197.39004Öcalan, Özkan; Duman, Oktay 2 2009 Statistical approximation to Bögel-type continuous and periodic functions. Zbl 1179.41011Dirik, Fadime; Duman, Oktay; Demirci, Kamil 2 2009 Statistical weighted approximation to derivatives of functions by linear operators. Zbl 1176.41017Anastassiou, George A.; Duman, Oktay 1 2009 Statistical approximation for stochastic processes. Zbl 1175.41021Anastassiou, George A.; Duman, Oktay; Erkuş-Duman, Esra 1 2009 Equi-statistical convergence of positive linear operators. Zbl 1131.41008Karakuş, Sevda; Demirci, Kamil; Duman, Oktay 34 2008 Statistical approximation results for Kantorovich-type operators involving some special polynomials. Zbl 1145.40300Özarslan, M. Ali; Duman, Oktay; Srivastava, H. M. 32 2008 Statistical convergence on intuitionistic fuzzy normed spaces. Zbl 1139.54006Karakus, S.; Demirci, K.; Duman, O. 29 2008 A Baskakov type generalization of statistical Korovkin theory. Zbl 1133.41004Anastassiou, George A.; Duman, Oktay 20 2008 Statistical fuzzy approximation by fuzzy positive linear operators. Zbl 1155.41314Anastassiou, George A.; Duman, Oktay 19 2008 Allee effects on population dynamics with delay. Zbl 1137.92364Çelik, C.; Merdan, H.; Duman, O.; Akın, Ö. 18 2008 Better error estimation for Szász-Mirakjan-Beta operators. Zbl 1134.41010Duman, Oktay; Özarslan, Mehmet Ali; Aktuǧlu, Hüseyin 14 2008 \(A\)-statistical convergence of sequences of convolution operators. Zbl 1348.41019Duman, Oktay 12 2008 Rates of \(A\)-statistical convergence of operators in the space of locally integrable functions. Zbl 1147.41004Duman, O.; Orhan, C. 8 2008 Integral-type generalizations of operators obtained from certain multivariate polynomials. Zbl 1142.41005Erkuş-Duman, Esra; Duman, O. 6 2008 Local approximation results for Szász-Mirakjan type operators. Zbl 1139.41002Özarslan, Mehmet Ali; Duman, Oktay 5 2008 Statistical fuzzy convergence. Zbl 1175.26064Burgin, Mark; Duman, Oktay 4 2008 On statistical fuzzy trigonometric Korovkin theory. Zbl 1134.26010Duman, Oktay; Anastassiou, George A. 2 2008 Approximation properties of Poisson integrals for orthogonal expansions. Zbl 1171.41309Özarslan, Mehmet Ali; Duman, Oktay 2 2008 Szász-Mirakjan type operators providing a better error estimation. Zbl 1182.41022Duman, Oktay; Özarslan, M. Ali 44 2007 MKZ type operators providing a better estimation on \([1/2,1)\). Zbl 1132.41318Özarslan, M. Ali; Duman, Oktay 19 2007 A Korovkin type approximation theorems via \(\mathcal {I}\)-convergence. Zbl 1174.41004Duman, O. 13 2007 Regular matrix transformations and rates of convergence of positive linear operators. Zbl 1168.41309Duman, O. 4 2007 Weighted approximation by Meyer-König and Zeller type operators. Zbl 1164.41016Della Vecchia, Biancamaria; Duman, Oktay 1 2007 Higher order generalization of positive linear operators defined by a class of Borel measures. Zbl 1131.41306Duman, Oktay 1 2007 Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials. Zbl 1103.41024Erkuş, Esra; Duman, Oktay; Srivastava, H. M. 46 2006 Statistical approximation of Meyer-König and Zeller operators based on \(q\)-integers. Zbl 1097.41004Doğru, O.; Duman, O. 31 2006 Statistical rates on the multivariate approximation theory. Zbl 1132.41330Duman, Oktay; Erkuş, Esra; Gupta, Vijay 23 2006 Statistical approximation theorems by \(k\)-positive linear operators. Zbl 1100.41012Duman, Oktay 15 2006 A Korovkin type approximation theorem in statistical sense. Zbl 1108.41012Erkuş, Esra; Duman, Oktay 15 2006 An abstract version of the Korovkin approximation theorem. Zbl 1121.41012Duman, Oktay; Orhan, Cihan 11 2006 Approximation of continuous periodic functions via statistical convergence. Zbl 1148.41023Duman, O.; Erkuş, E. 7 2006 On integral type generalizations of positive linear operators. Zbl 1098.41018Duman, O.; Özarslan, M. A.; Doğru, O. 4 2006 \(A\)-statistical extension of the Korovkin type approximation theorem. Zbl 1085.41017Erkuş, Esra; Duman, Oktay 18 2005 Rates of \(A\)-statistical convergence of positive linear operators. Zbl 1085.41012Duman, O.; Orhan, C. 17 2005 Rates of \(A\)-statistical convergence of approximating operators. Zbl 1104.41018Özarslan, M. A.; Duman, O.; Doğru, O. 9 2005 Statistical approximation by positive linear operators. Zbl 1049.41016Duman, O.; Orhan, C. 65 2004 \(\mu \)-statistically convergent function sequences. Zbl 1080.40501Duman, O.; Orhan, C. 31 2004 The effects of matrix summability methods on bounds of function sequences. Zbl 1057.40003Duman, O. 1 2004 \(A\)-statistical convergence of approximating operators. Zbl 1086.41008Duman, O.; Khan, M. K.; Orhan, C. 72 2003 Statistical approximation by generalized Meyer-König and Zeller type operators. Zbl 1065.41040Doǧru, O.; Duman, O.; Orchan, C. 14 2003 Statistical approximation for periodic functions. Zbl 1065.41041Duman, Oktay 13 2003 Statistical approximation in the space of locally integrable functions. Zbl 1027.41012Duman, O.; Orchan, C. 4 2003 all cited Publications top 5 cited Publications all top 5 Cited by 576 Authors 50 Duman, Oktay 39 Agrawal, Purshottam Narain 32 Demirci, Kamil 31 Mursaleen, Mohammad 18 Yıldız, Sevda 16 Srivastava, Hari Mohan 15 Dirik, Fadime 15 Gupta, Vijay 14 Braha, Naim Latif 14 Mohiuddine, Syed Abdul 14 Ozarslan, Mehmet Ali 13 Deo, Naokant 13 Mishra, Vishnu Narayan 12 Kajla, Arun 11 Acu, Ana Maria 11 Anastassiou, George Angelos 11 Doğru, Ogün 10 Aral, Ali 10 Boccuto, Antonio 10 Taş, Emre 9 Kadak, Ugur 9 Orhan, Sevda 9 Paikray, Susanta Kumar 9 Rao, Nadeem 9 Yurdakadim, Tuğba 8 Alotaibi, Abdullah M. 8 Jena, Bidu Bhusan 8 Soylemez, Dilek 8 Ünver, Mehmet 7 Aktuglu, Huseyin 7 Baxhaku, Behar 7 Goyal, Meenu 7 Hazarika, Bipan 7 Mahmudov, Nazim Idrisoglu 7 Örkcü, Mediha 6 Agratini, Octavian 6 Ansari, Khursheed Jamal 6 Atlihan, Özlem Girgin 6 Bardaro, Carlo 6 Çekım, Bayram 6 Chattopadhyay, Joydev 6 Dimitriou, Xenofon 6 Dutta, Hemen 6 Et, Mikail 6 Gadjiev, Akif Djafar oglu 6 Karakus, Sevda 6 Mansour, Toufik 6 Mantellini, Ilaria 6 Orhan, Cihan 6 Patel, Prashantkumar Gordhanbhai 5 Acar, Tuncer 5 Aktaş, Rabia 5 Aslan, Ismail 5 Bhardwaj, Neha 5 Bhardwaj, Vinod Kumar 5 Biswas, Santanu 5 Garrancho, Pedro 5 İspir, Nurhayat 5 Kaymakçalan, Billur 5 Kışı, Ömer 5 Merdan, Hüseyin 5 Pratap, Ram 5 Samanta, Sudip 5 Teng, Zhi-dong 5 Wafi, Abdul 4 Altin, Yavuz 4 Altundag, Selma 4 Cai, Qingbo 4 Cárdenas-Morales, Daniel 4 Cinar, Muhammed 4 Çınar, Selin 4 Coroianu, Lucian C. 4 Erkuş-Duman, Esra 4 Erkus, Esra 4 Esi, Ayhan 4 Finta, Zoltán 4 Gal, Sorin Gheorghe 4 Gökçer, Türkan Yeliz 4 Gupta, Pooja 4 Hu, Zengyun 4 Liu, Shuoh-Jung 4 Misra, Uma Kanta 4 Rahman, Shagufta 4 Saifuddin, Mohammad 4 Sen, Mausumi 4 Talo, Özer 4 Taşdelen, Fatma 4 Yılmaz, Emrah Sercan 4 Yilmaz, Övgü Gürel 3 Akdağ, Sevda 3 Aliev, Rashid Avazaga 3 Antal, Reena 3 Araci, Serkan 3 Celik, Canan 3 Chauhan, Ruchi 3 Chawla, Meenakshi 3 Costarelli, Danilo 3 Debnath, Pradip 3 Dhawan, Shweta 3 Ertürk, Müzeyyen ...and 476 more Authors all top 5 Cited in 151 Serials 42 Applied Mathematics and Computation 21 Journal of Inequalities and Applications 19 Results in Mathematics 19 Filomat 19 Advances in Difference Equations 16 Chaos, Solitons and Fractals 16 Mathematical and Computer Modelling 15 Abstract and Applied Analysis 15 Positivity 15 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 13 Mathematica Slovaca 10 Applied Mathematics Letters 9 Numerical Functional Analysis and Optimization 9 Discrete Dynamics in Nature and Society 9 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 9 Hacettepe Journal of Mathematics and Statistics 9 Journal of Mathematical Inequalities 8 Computers & Mathematics with Applications 8 Demonstratio Mathematica 8 Soft Computing 7 Journal of Mathematical Analysis and Applications 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Turkish Journal of Mathematics 7 Central European Journal of Mathematics 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Constructive Mathematical Analysis 5 Rocky Mountain Journal of Mathematics 5 Journal of Computational and Applied Mathematics 5 The Journal of Analysis 5 Georgian Mathematical Journal 5 Integral Transforms and Special Functions 5 Journal of Applied Mathematics 5 Journal of Applied Mathematics and Computing 5 Thai Journal of Mathematics 5 Mediterranean Journal of Mathematics 5 Sarajevo Journal of Mathematics 5 Tbilisi Mathematical Journal 5 Journal of Function Spaces 4 Lobachevskii Journal of Mathematics 4 International Journal of Biomathematics 4 Journal of Classical Analysis 4 Advances in Operator Theory 3 Periodica Mathematica Hungarica 3 Calcolo 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Stochastic Analysis and Applications 3 Numerical Algorithms 3 Communications in Statistics. Theory and Methods 3 Applied Mathematics E-Notes 3 Journal of Function Spaces and Applications 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Proyecciones 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Operators and Matrices 3 Asian-European Journal of Mathematics 3 Afrika Matematika 3 Palestine Journal of Mathematics 3 AIMS Mathematics 3 Mathematical Foundations of Computing 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Biosciences 2 Mathematical Methods in the Applied Sciences 2 Acta Mathematica Vietnamica 2 Fuzzy Sets and Systems 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Approximation Theory 2 Kyungpook Mathematical Journal 2 Mathematics and Computers in Simulation 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Acta Mathematicae Applicatae Sinica. English Series 2 Facta Universitatis. Series Mathematics and Informatics 2 Applied Mathematical Modelling 2 Journal of Difference Equations and Applications 2 Journal of Applied Analysis 2 Nonlinear Dynamics 2 Journal of Biological Systems 2 The ANZIAM Journal 2 Nonlinear Analysis. Real World Applications 2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 2 Complex Analysis and Operator Theory 2 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 2 Bulletin of Mathematical Analysis and Applications 2 Advances in Mathematical Physics 2 Annals of Functional Analysis 2 Analysis and Mathematical Physics 2 Journal of Mathematics 2 Khayyam Journal of Mathematics 2 Applied Mathematics and Nonlinear Sciences 2 Advanced Studies: Euro-Tbilisi Mathematical Journal 1 Applicable Analysis 1 International Journal of General Systems 1 Linear and Multilinear Algebra 1 Scandinavian Journal of Statistics 1 Czechoslovak Mathematical Journal 1 Information Sciences 1 Quaestiones Mathematicae 1 Real Analysis Exchange 1 Revista de la Unión Matemática Argentina 1 Acta Mathematica Hungarica ...and 51 more Serials all top 5 Cited in 30 Fields 406 Approximations and expansions (41-XX) 224 Sequences, series, summability (40-XX) 80 Real functions (26-XX) 74 Biology and other natural sciences (92-XX) 50 Functional analysis (46-XX) 39 Ordinary differential equations (34-XX) 37 Operator theory (47-XX) 24 Dynamical systems and ergodic theory (37-XX) 21 Special functions (33-XX) 19 Difference and functional equations (39-XX) 15 Numerical analysis (65-XX) 11 General topology (54-XX) 10 Functions of a complex variable (30-XX) 8 Probability theory and stochastic processes (60-XX) 7 Measure and integration (28-XX) 7 Partial differential equations (35-XX) 6 Statistics (62-XX) 5 Mathematical logic and foundations (03-XX) 5 Integral equations (45-XX) 5 Systems theory; control (93-XX) 4 Combinatorics (05-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 2 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year