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 · Wikidata Documents Indexed: 115 Publications since 2003, including 1 Book 7 Contributions as Editor Co-Authors: 38 Co-Authors with 104 Joint Publications 1,559 Co-Co-Authors all top 5 Co-Authors 18 single-authored 21 Anastassiou, George Angelos 21 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 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 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 102 Publications have been cited 1,291 times in 712 Documents Cited by ▼ Year ▼ \(A\)-statistical convergence of approximating operators. Zbl 1086.41008 Duman, O.; Khan, M. K.; Orhan, C. 89 2003 Statistical approximation by positive linear operators. Zbl 1049.41016 Duman, O.; Orhan, C. 75 2004 Allee effect in a discrete-time predator-prey system. Zbl 1198.34084 Çelik, Canan; Duman, Oktay 71 2009 Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials. Zbl 1103.41024 Erkuş, Esra; Duman, Oktay; Srivastava, H. M. 54 2006 Szász-Mirakjan type operators providing a better error estimation. Zbl 1182.41022 Duman, Oktay; Özarslan, M. Ali 48 2007 Statistical convergence on intuitionistic fuzzy normed spaces. Zbl 1139.54006 Karakus, S.; Demirci, K.; Duman, O. 37 2008 Equi-statistical convergence of positive linear operators. Zbl 1131.41008 Karakuş, Sevda; Demirci, Kamil; Duman, Oktay 36 2008 Statistical approximation results for Kantorovich-type operators involving some special polynomials. Zbl 1145.40300 Özarslan, M. Ali; Duman, Oktay; Srivastava, H. M. 36 2008 Statistical approximation of Meyer-König and Zeller operators based on \(q\)-integers. Zbl 1097.41004 Doğru, O.; Duman, O. 35 2006 \(\mu \)-statistically convergent function sequences. Zbl 1080.40501 Duman, O.; Orhan, C. 34 2004 Modified Szász-Mirakjan-Kantorovich operators preserving linear functions. Zbl 1175.41015 Duman, Oktay; Özarslan, Mehmet Ali; Della Vecchia, Biancamaria 30 2009 Towards intelligent modeling: statistical approximation theory. Zbl 1295.41001 Anastassiou, George A.; Duman, Oktay 27 2011 Korovkin theorems on weighted spaces: revisited. Zbl 1399.41039 Atlihan, Özlem Girgin; Ünver, Mehmet; Duman, Oktay 25 2017 Statistical rates on the multivariate approximation theory. Zbl 1132.41330 Duman, Oktay; Erkuş, Esra; Gupta, Vijay 23 2006 Smoothness properties of modified Bernstein-Kantorovich operators. Zbl 1337.41012 Özarslan, Mehmet Ali; Duman, Oktay 23 2016 Local approximation behavior of modified SMK operators. Zbl 1224.41056 Özarslan, M. Ali; Duman, Oktay 22 2010 \(A\)-statistical extension of the Korovkin type approximation theorem. Zbl 1085.41017 Erkuş, Esra; Duman, Oktay 22 2005 A Baskakov type generalization of statistical Korovkin theory. Zbl 1133.41004 Anastassiou, George A.; Duman, Oktay 21 2008 Rates of convergence of certain King-type operators for functions with derivative of bounded variation. Zbl 1201.41004 Özarslan, M. Ali; Duman, Oktay; Kaanoğlu, Cem 21 2010 Statistical approximation by positive linear operators on modular spaces. Zbl 1193.41014 Karakuş, Sevda; Demirci, Kamil; Duman, Oktay 21 2010 Statistical fuzzy approximation by fuzzy positive linear operators. Zbl 1155.41314 Anastassiou, George A.; Duman, Oktay 20 2008 Allee effects on population dynamics with delay. Zbl 1137.92364 Çelik, C.; Merdan, H.; Duman, O.; Akın, Ö. 20 2008 MKZ type operators providing a better estimation on \([1/2,1)\). Zbl 1132.41318 Özarslan, M. Ali; Duman, Oktay 19 2007 Better error estimation for Szász-Mirakjan-Beta operators. Zbl 1134.41010 Duman, Oktay; Özarslan, Mehmet Ali; Aktuǧlu, Hüseyin 19 2008 Rates of \(A\)-statistical convergence of positive linear operators. Zbl 1085.41012 Duman, O.; Orhan, C. 19 2005 A Korovkin type approximation theorem in statistical sense. Zbl 1108.41012 Erkuş, Esra; Duman, Oktay 18 2006 \(A\)-statistical convergence of sequences of convolution operators. Zbl 1348.41019 Duman, Oktay 17 2008 Statistical approximation theorems by \(k\)-positive linear operators. Zbl 1100.41012 Duman, Oktay 16 2006 Approximation by nonlinear integral operators via summability process. Zbl 07198947 Aslan, Ismail; Duman, Oktay 16 2020 Statistical approximation by generalized Meyer-König and Zeller type operators. Zbl 1065.41040 Doǧru, O.; Duman, O.; Orchan, C. 15 2003 Statistical approximation for periodic functions. Zbl 1065.41041 Duman, Oktay 14 2003 A Korovkin type approximation theorems via \(\mathcal {I}\)-convergence. Zbl 1174.41004 Duman, O. 14 2007 Fundamental properties of statistical convergence and lacunary statistical convergence on time scales. Zbl 1499.40081 Turan, Ceylan; Duman, Oktay 13 2017 An abstract version of the Korovkin approximation theorem. Zbl 1121.41012 Duman, Oktay; Orhan, Cihan 12 2006 Summability on Mellin-type nonlinear integral operators. Zbl 1436.41013 Aslan, Ismail; Duman, Oktay 11 2019 Rates of \(A\)-statistical convergence of operators in the space of locally integrable functions. Zbl 1147.41004 Duman, O.; Orhan, C. 10 2008 Summation process by max-product operators. Zbl 1355.41017 Gökçer, Türkan Yeliz; Duman, Oktay 10 2016 Allee effects on population dynamics in continuous (overlapping) case. Zbl 1197.37119 Merdan, H.; Duman, O.; Akın, Ö.; Çelik, C. 10 2009 Statistical convergence of max-product approximating operators. Zbl 1204.26050 Duman, Oktay 10 2010 Opial-type inequalities for diamond-alpha derivatives and integrals on time scales. Zbl 1205.26049 Bohner, Martin; Duman, Oktay 10 2010 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 10 2013 Approximation by max-min operators: a general theory and its applications. Zbl 1452.41012 Gökçer, Türkan Yeliz; Duman, Oktay 10 2020 Modified neural network operators and their convergence properties with summability methods. Zbl 1440.41011 Turkun, Can; Duman, Oktay 10 2020 Statistical approximation properties of high order operators constructed with the Chan-Chyan-Srivastava polynomials. Zbl 1236.41018 Erkuş-Duman, Esra; Duman, Oktay 9 2011 Bernstein-Durrmeyer type operators preserving linear functions. Zbl 1265.41044 Gupta, Vijay; Duman, Oktay 9 2010 Rates of \(A\)-statistical convergence of approximating operators. Zbl 1104.41018 Özarslan, M. A.; Duman, O.; Doğru, O. 9 2005 Approximation in statistical sense to \(B\)-continuous functions by positive linear operators. Zbl 1274.41025 Dirik, Fadime; Duman, Oktay; Demirci, Kamil 9 2010 A summability process on Baskakov-type approximation. Zbl 1389.40021 Aslan, İsmail; Duman, Oktay 9 2016 On the stability analysis of a general discrete-time population model involving predation and Allee effects. Zbl 1197.39009 Merdan, H.; Duman, O. 8 2009 Approximation theorems by Meyer-König and Zeller type operators. Zbl 1198.41014 Özarslan, M. Ali; Duman, Oktay 8 2009 A new approach in obtaining a better estimation in approximation by positive linear operators. Zbl 1196.41010 Özarslan, M. Ali; Duman, Oktay 8 2009 Approximation of continuous periodic functions via statistical convergence. Zbl 1148.41023 Duman, O.; Erkuş, E. 7 2006 Stability analysis of continuous population model involving predation and Allee effect. Zbl 1198.34138 Duman, O.; Merdan, H. 7 2009 Rates of ideal convergence for approximation operators. Zbl 1200.41022 Duman, Oktay; Özarslan, Mehmet Ali; Erkuş-Duman, Esra 7 2010 Integral-type generalizations of operators obtained from certain multivariate polynomials. Zbl 1142.41005 Erkuş-Duman, Esra; Duman, O. 7 2008 Local approximation results for Szász-Mirakjan type operators. Zbl 1139.41002 Özarslan, Mehmet Ali; Duman, Oktay 6 2008 Nonlinear approximation in \(N\)-dimension with the help of summability methods. Zbl 07358920 Aslan, Ismail; Duman, Oktay 6 2021 Characterization of absolute and uniform continuity. Zbl 1488.26032 Aslan, İsmail; Duman, Oktay 6 2020 Statistical fuzzy convergence. Zbl 1175.26064 Burgin, Mark; Duman, Oktay 5 2008 On relaxing the positivity condition of linear operators in statistical Korovkin-type approximations. Zbl 1176.41016 Anastassiou, George A.; Duman, Oktay 5 2009 General summability methods in the approximation by Bernstein-Chlodovsky operators. Zbl 1478.40003 Alemdar, Meryem Ece; Duman, Oktay 5 2021 Statistical approximation in the space of locally integrable functions. Zbl 1027.41012 Duman, O.; Orchan, C. 4 2003 Regular matrix transformations and rates of convergence of positive linear operators. Zbl 1168.41309 Duman, O. 4 2007 Ideal convergence of \(k\)-positive linear operators. Zbl 1243.40019 Gadjiev, Akif; Duman, Oktay; Ghorbanalizadeh, A. M. 4 2012 Matrix summability methods on the approximation of multivariate \(q\)-MKZ operators. Zbl 1231.41014 Aktuglu, Hüseyin; Özarslan, Ali; Duman, Oktay 4 2011 Regular summability methods in the approximation by max-min operators. Zbl 1522.41009 Gökçer, Türkan Yeliz; Duman, Oktay 4 2022 On integral type generalizations of positive linear operators. Zbl 1098.41018 Duman, O.; Özarslan, M. A.; Doğru, O. 4 2006 Statistical convergence of double-complex Picard integral operators. Zbl 1195.65221 Anastassiou, George A.; Duman, Oktay 4 2010 Oscillation analysis of neutral difference equations with delays. Zbl 1197.39004 Öcalan, Özkan; Duman, Oktay 3 2009 Statistical \(L_p\)-approximation by double Gauss-Weierstrass singular integral operators. Zbl 1189.41015 Anastassiou, George A.; Duman, Oktay 3 2010 Approximation properties of real and complex post-widder operators based on \(q\)-integers. Zbl 1274.41053 Ünal, Zafer; Özarslan, Mehmet Ali; Duman, Oktay 3 2012 A Voronovskaya-type formula for SMK operators via statistical convergence. Zbl 1265.41031 Aral, Ali; Duman, Oktay 3 2011 Statistical Korovkin theory for multivariate stochastic processes. Zbl 1193.41028 Anastassiou, George A.; Duman, Oktay 3 2010 Complex Shepard operators and their summability. Zbl 1477.30034 Duman, Oktay; Della Vecchia, Biancamaria 3 2021 Generalized Cesàro summability of Fourier series and its applications. Zbl 1488.42028 Duman, Oktay 3 2021 Statistical approximation to Bögel-type continuous and periodic functions. Zbl 1179.41011 Dirik, Fadime; Duman, Oktay; Demirci, Kamil 2 2009 On statistical fuzzy trigonometric Korovkin theory. Zbl 1134.26010 Duman, Oktay; Anastassiou, George A. 2 2008 Uniform approximation in statistical sense by double Gauss-Weierstrass singular integral operators. Zbl 1248.41036 Anastassiou, George A.; Duman, Oktay 2 2010 Global approximation properties of modified SMK operators. Zbl 1265.41030 Ali Özarslan, M.; Duman, Oktay 2 2010 Statistical approximation by double complex Gauss-Weierstrass integral operators. Zbl 1217.47036 Anastassiou, George A.; Duman, Oktay 2 2011 On solutions of the recursive equations \(x_{n+1} = x^p_{n-1}/x^p_n (p > 0)\) via Fibonacci-type sequences. Zbl 1396.39003 Öcalan, Özkan; Duman, Oktay 2 2019 Statistical fuzzy approximation to fuzzy differentiable functions by fuzzy linear operators. Zbl 1220.26023 Duman, Oktay 2 2010 Statistical approximation by double Picard singular integral operators. Zbl 1224.41077 Anastassiou, George A.; Duman, Oktay 2 2010 Fractional Korovkin theory based on statistical convergence. Zbl 1224.41050 Anastassiou, G. A.; Duman, O. 2 2009 Approximation properties of Poisson integrals for orthogonal expansions. Zbl 1171.41309 Özarslan, Mehmet Ali; Duman, Oktay 2 2008 Global approximation results for modified Szász-Mirakjan operators. Zbl 1229.41015 Duman, Oktay; Özarslan, Mehmet Ali 2 2011 Summability methods in weighted approximation to derivatives of functions. Zbl 1493.40011 Küçük, Nisa; Duman, Oktay 2 2015 The effects of matrix summability methods on bounds of function sequences. Zbl 1057.40003 Duman, O. 1 2004 Higher order generalization of positive linear operators defined by a class of Borel measures. Zbl 1131.41306 Duman, Oktay 1 2007 Statistical Korovkin-type theory for matrix-valued functions. Zbl 1265.41053 Duman, Oktay; Erkuş-Duman, Esra 1 2011 Hardy-type Tauberian conditions on time scales. Zbl 1410.40008 Yalçın, Ceylan Turan; Duman, Oktay 1 2018 Statistical approximation by double Poisson-Cauchy singular integral operators. Zbl 1257.30030 Duman, Oktay; Kester, Merve 1 2012 Singular approximation in polydiscs by summability process. Zbl 1351.41017 Duman, Oktay 1 2016 Summability process by Mastroianni operators and their generalizations. Zbl 1321.40003 Duman, Oktay 1 2015 Local approximation properties of modified Baskakov operators. Zbl 1216.41012 Özarslan, M. Ali; Duman, Oktay; Mahmudov, Nazım I. 1 2011 Statistical weighted approximation to derivatives of functions by linear operators. Zbl 1176.41017 Anastassiou, George A.; Duman, Oktay 1 2009 Statistical approximation for stochastic processes. Zbl 1175.41021 Anastassiou, George A.; Duman, Oktay; Erkuş-Duman, Esra 1 2009 Approximations by linear operators in spaces of fuzzy continuous functions. Zbl 1222.41031 Burgin, Mark; Duman, Oktay 1 2011 Weighted approximation by Meyer-König and Zeller type operators. Zbl 1164.41016 Della Vecchia, Biancamaria; Duman, Oktay 1 2007 Fuzzy approximation based on statistical rates. Zbl 1224.26092 Duman, Oktay 1 2010 Regular summability methods in the approximation by max-min operators. Zbl 1522.41009 Gökçer, Türkan Yeliz; Duman, Oktay 4 2022 Approximation to integrable functions by modified complex Shepard operators. Zbl 1492.30083 Duman, Oktay; Della Vecchia, Biancamaria 1 2022 Nonlinear approximation in \(N\)-dimension with the help of summability methods. Zbl 07358920 Aslan, Ismail; Duman, Oktay 6 2021 General summability methods in the approximation by Bernstein-Chlodovsky operators. Zbl 1478.40003 Alemdar, Meryem Ece; Duman, Oktay 5 2021 Complex Shepard operators and their summability. Zbl 1477.30034 Duman, Oktay; Della Vecchia, Biancamaria 3 2021 Generalized Cesàro summability of Fourier series and its applications. Zbl 1488.42028 Duman, Oktay 3 2021 Approximation by nonlinear integral operators via summability process. Zbl 07198947 Aslan, Ismail; Duman, Oktay 16 2020 Approximation by max-min operators: a general theory and its applications. Zbl 1452.41012 Gökçer, Türkan Yeliz; Duman, Oktay 10 2020 Modified neural network operators and their convergence properties with summability methods. Zbl 1440.41011 Turkun, Can; Duman, Oktay 10 2020 Characterization of absolute and uniform continuity. Zbl 1488.26032 Aslan, İsmail; Duman, Oktay 6 2020 Summability on Mellin-type nonlinear integral operators. Zbl 1436.41013 Aslan, Ismail; Duman, Oktay 11 2019 On solutions of the recursive equations \(x_{n+1} = x^p_{n-1}/x^p_n (p > 0)\) via Fibonacci-type sequences. Zbl 1396.39003 Öcalan, Özkan; Duman, Oktay 2 2019 Hardy-type Tauberian conditions on time scales. Zbl 1410.40008 Yalçın, Ceylan Turan; Duman, Oktay 1 2018 Korovkin theorems on weighted spaces: revisited. Zbl 1399.41039 Atlihan, Özlem Girgin; Ünver, Mehmet; Duman, Oktay 25 2017 Fundamental properties of statistical convergence and lacunary statistical convergence on time scales. Zbl 1499.40081 Turan, Ceylan; Duman, Oktay 13 2017 Smoothness properties of modified Bernstein-Kantorovich operators. Zbl 1337.41012 Özarslan, Mehmet Ali; Duman, Oktay 23 2016 Summation process by max-product operators. Zbl 1355.41017 Gökçer, Türkan Yeliz; Duman, Oktay 10 2016 A summability process on Baskakov-type approximation. Zbl 1389.40021 Aslan, İsmail; Duman, Oktay 9 2016 Singular approximation in polydiscs by summability process. Zbl 1351.41017 Duman, Oktay 1 2016 Summability methods in weighted approximation to derivatives of functions. Zbl 1493.40011 Küçük, Nisa; Duman, Oktay 2 2015 Summability process by Mastroianni operators and their generalizations. Zbl 1321.40003 Duman, Oktay 1 2015 Nonlinear Bernstein-type operators providing a better error estimation. Zbl 1324.41030 Duman, 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 10 2013 Ideal convergence of \(k\)-positive linear operators. Zbl 1243.40019 Gadjiev, Akif; Duman, Oktay; Ghorbanalizadeh, A. M. 4 2012 Approximation properties of real and complex post-widder operators based on \(q\)-integers. Zbl 1274.41053 Ünal, Zafer; Özarslan, Mehmet Ali; Duman, Oktay 3 2012 Statistical approximation by double Poisson-Cauchy singular integral operators. Zbl 1257.30030 Duman, Oktay; Kester, Merve 1 2012 Towards intelligent modeling: statistical approximation theory. Zbl 1295.41001 Anastassiou, George A.; Duman, Oktay 27 2011 Statistical approximation properties of high order operators constructed with the Chan-Chyan-Srivastava polynomials. Zbl 1236.41018 Erkuş-Duman, Esra; Duman, Oktay 9 2011 Matrix summability methods on the approximation of multivariate \(q\)-MKZ operators. Zbl 1231.41014 Aktuglu, Hüseyin; Özarslan, Ali; Duman, Oktay 4 2011 A Voronovskaya-type formula for SMK operators via statistical convergence. Zbl 1265.41031 Aral, Ali; Duman, Oktay 3 2011 Statistical approximation by double complex Gauss-Weierstrass integral operators. Zbl 1217.47036 Anastassiou, George A.; Duman, Oktay 2 2011 Global approximation results for modified Szász-Mirakjan operators. Zbl 1229.41015 Duman, Oktay; Özarslan, Mehmet Ali 2 2011 Statistical Korovkin-type theory for matrix-valued functions. Zbl 1265.41053 Duman, Oktay; Erkuş-Duman, Esra 1 2011 Local approximation properties of modified Baskakov operators. Zbl 1216.41012 Özarslan, M. Ali; Duman, Oktay; Mahmudov, Nazım I. 1 2011 Approximations by linear operators in spaces of fuzzy continuous functions. Zbl 1222.41031 Burgin, Mark; Duman, Oktay 1 2011 Local approximation behavior of modified SMK operators. Zbl 1224.41056 Özarslan, M. Ali; Duman, Oktay 22 2010 Rates of convergence of certain King-type operators for functions with derivative of bounded variation. Zbl 1201.41004 Özarslan, M. Ali; Duman, Oktay; Kaanoğlu, Cem 21 2010 Statistical approximation by positive linear operators on modular spaces. Zbl 1193.41014 Karakuş, Sevda; Demirci, Kamil; Duman, Oktay 21 2010 Statistical convergence of max-product approximating operators. Zbl 1204.26050 Duman, Oktay 10 2010 Opial-type inequalities for diamond-alpha derivatives and integrals on time scales. Zbl 1205.26049 Bohner, Martin; Duman, Oktay 10 2010 Bernstein-Durrmeyer type operators preserving linear functions. Zbl 1265.41044 Gupta, Vijay; Duman, Oktay 9 2010 Approximation in statistical sense to \(B\)-continuous functions by positive linear operators. Zbl 1274.41025 Dirik, Fadime; Duman, Oktay; Demirci, Kamil 9 2010 Rates of ideal convergence for approximation operators. Zbl 1200.41022 Duman, Oktay; Özarslan, Mehmet Ali; Erkuş-Duman, Esra 7 2010 Statistical convergence of double-complex Picard integral operators. Zbl 1195.65221 Anastassiou, George A.; Duman, Oktay 4 2010 Statistical \(L_p\)-approximation by double Gauss-Weierstrass singular integral operators. Zbl 1189.41015 Anastassiou, George A.; Duman, Oktay 3 2010 Statistical Korovkin theory for multivariate stochastic processes. Zbl 1193.41028 Anastassiou, George A.; Duman, Oktay 3 2010 Uniform approximation in statistical sense by double Gauss-Weierstrass singular integral operators. Zbl 1248.41036 Anastassiou, George A.; Duman, Oktay 2 2010 Global approximation properties of modified SMK operators. Zbl 1265.41030 Ali Özarslan, M.; Duman, Oktay 2 2010 Statistical fuzzy approximation to fuzzy differentiable functions by fuzzy linear operators. Zbl 1220.26023 Duman, Oktay 2 2010 Statistical approximation by double Picard singular integral operators. Zbl 1224.41077 Anastassiou, George A.; Duman, Oktay 2 2010 Fuzzy approximation based on statistical rates. Zbl 1224.26092 Duman, Oktay 1 2010 Allee effect in a discrete-time predator-prey system. Zbl 1198.34084 Çelik, Canan; Duman, Oktay 71 2009 Modified Szász-Mirakjan-Kantorovich operators preserving linear functions. Zbl 1175.41015 Duman, Oktay; Özarslan, Mehmet Ali; Della Vecchia, Biancamaria 30 2009 Allee effects on population dynamics in continuous (overlapping) case. Zbl 1197.37119 Merdan, H.; Duman, O.; Akın, Ö.; Çelik, C. 10 2009 On the stability analysis of a general discrete-time population model involving predation and Allee effects. Zbl 1197.39009 Merdan, H.; Duman, O. 8 2009 Approximation theorems by Meyer-König and Zeller type operators. Zbl 1198.41014 Özarslan, M. Ali; Duman, Oktay 8 2009 A new approach in obtaining a better estimation in approximation by positive linear operators. Zbl 1196.41010 Özarslan, M. Ali; Duman, Oktay 8 2009 Stability analysis of continuous population model involving predation and Allee effect. Zbl 1198.34138 Duman, O.; Merdan, H. 7 2009 On relaxing the positivity condition of linear operators in statistical Korovkin-type approximations. Zbl 1176.41016 Anastassiou, George A.; Duman, Oktay 5 2009 Oscillation analysis of neutral difference equations with delays. Zbl 1197.39004 Öcalan, Özkan; Duman, Oktay 3 2009 Statistical approximation to Bögel-type continuous and periodic functions. Zbl 1179.41011 Dirik, Fadime; Duman, Oktay; Demirci, Kamil 2 2009 Fractional Korovkin theory based on statistical convergence. Zbl 1224.41050 Anastassiou, G. A.; Duman, O. 2 2009 Statistical weighted approximation to derivatives of functions by linear operators. Zbl 1176.41017 Anastassiou, George A.; Duman, Oktay 1 2009 Statistical approximation for stochastic processes. Zbl 1175.41021 Anastassiou, George A.; Duman, Oktay; Erkuş-Duman, Esra 1 2009 Statistical convergence on intuitionistic fuzzy normed spaces. Zbl 1139.54006 Karakus, S.; Demirci, K.; Duman, O. 37 2008 Equi-statistical convergence of positive linear operators. Zbl 1131.41008 Karakuş, Sevda; Demirci, Kamil; Duman, Oktay 36 2008 Statistical approximation results for Kantorovich-type operators involving some special polynomials. Zbl 1145.40300 Özarslan, M. Ali; Duman, Oktay; Srivastava, H. M. 36 2008 A Baskakov type generalization of statistical Korovkin theory. Zbl 1133.41004 Anastassiou, George A.; Duman, Oktay 21 2008 Statistical fuzzy approximation by fuzzy positive linear operators. Zbl 1155.41314 Anastassiou, George A.; Duman, Oktay 20 2008 Allee effects on population dynamics with delay. Zbl 1137.92364 Çelik, C.; Merdan, H.; Duman, O.; Akın, Ö. 20 2008 Better error estimation for Szász-Mirakjan-Beta operators. Zbl 1134.41010 Duman, Oktay; Özarslan, Mehmet Ali; Aktuǧlu, Hüseyin 19 2008 \(A\)-statistical convergence of sequences of convolution operators. Zbl 1348.41019 Duman, Oktay 17 2008 Rates of \(A\)-statistical convergence of operators in the space of locally integrable functions. Zbl 1147.41004 Duman, O.; Orhan, C. 10 2008 Integral-type generalizations of operators obtained from certain multivariate polynomials. Zbl 1142.41005 Erkuş-Duman, Esra; Duman, O. 7 2008 Local approximation results for Szász-Mirakjan type operators. Zbl 1139.41002 Özarslan, Mehmet Ali; Duman, Oktay 6 2008 Statistical fuzzy convergence. Zbl 1175.26064 Burgin, Mark; Duman, Oktay 5 2008 On statistical fuzzy trigonometric Korovkin theory. Zbl 1134.26010 Duman, Oktay; Anastassiou, George A. 2 2008 Approximation properties of Poisson integrals for orthogonal expansions. Zbl 1171.41309 Özarslan, Mehmet Ali; Duman, Oktay 2 2008 Szász-Mirakjan type operators providing a better error estimation. Zbl 1182.41022 Duman, Oktay; Özarslan, M. Ali 48 2007 MKZ type operators providing a better estimation on \([1/2,1)\). Zbl 1132.41318 Özarslan, M. Ali; Duman, Oktay 19 2007 A Korovkin type approximation theorems via \(\mathcal {I}\)-convergence. Zbl 1174.41004 Duman, O. 14 2007 Regular matrix transformations and rates of convergence of positive linear operators. Zbl 1168.41309 Duman, O. 4 2007 Higher order generalization of positive linear operators defined by a class of Borel measures. Zbl 1131.41306 Duman, Oktay 1 2007 Weighted approximation by Meyer-König and Zeller type operators. Zbl 1164.41016 Della Vecchia, Biancamaria; Duman, Oktay 1 2007 Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials. Zbl 1103.41024 Erkuş, Esra; Duman, Oktay; Srivastava, H. M. 54 2006 Statistical approximation of Meyer-König and Zeller operators based on \(q\)-integers. Zbl 1097.41004 Doğru, O.; Duman, O. 35 2006 Statistical rates on the multivariate approximation theory. Zbl 1132.41330 Duman, Oktay; Erkuş, Esra; Gupta, Vijay 23 2006 A Korovkin type approximation theorem in statistical sense. Zbl 1108.41012 Erkuş, Esra; Duman, Oktay 18 2006 Statistical approximation theorems by \(k\)-positive linear operators. Zbl 1100.41012 Duman, Oktay 16 2006 An abstract version of the Korovkin approximation theorem. Zbl 1121.41012 Duman, Oktay; Orhan, Cihan 12 2006 Approximation of continuous periodic functions via statistical convergence. Zbl 1148.41023 Duman, O.; Erkuş, E. 7 2006 On integral type generalizations of positive linear operators. Zbl 1098.41018 Duman, O.; Özarslan, M. A.; Doğru, O. 4 2006 \(A\)-statistical extension of the Korovkin type approximation theorem. Zbl 1085.41017 Erkuş, Esra; Duman, Oktay 22 2005 Rates of \(A\)-statistical convergence of positive linear operators. Zbl 1085.41012 Duman, O.; Orhan, C. 19 2005 Rates of \(A\)-statistical convergence of approximating operators. Zbl 1104.41018 Özarslan, M. A.; Duman, O.; Doğru, O. 9 2005 Statistical approximation by positive linear operators. Zbl 1049.41016 Duman, O.; Orhan, C. 75 2004 \(\mu \)-statistically convergent function sequences. Zbl 1080.40501 Duman, O.; Orhan, C. 34 2004 The effects of matrix summability methods on bounds of function sequences. Zbl 1057.40003 Duman, O. 1 2004 \(A\)-statistical convergence of approximating operators. Zbl 1086.41008 Duman, O.; Khan, M. K.; Orhan, C. 89 2003 Statistical approximation by generalized Meyer-König and Zeller type operators. Zbl 1065.41040 Doǧru, O.; Duman, O.; Orchan, C. 15 2003 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 680 Authors 52 Duman, Oktay 45 Agrawal, Purshottam Narain 35 Demirci, Kamil 32 Mursaleen, Mohammad 23 Yıldız, Sevda 21 Ozarslan, Mehmet Ali 20 Srivastava, Hari Mohan 19 Braha, Naim Latif 18 Gupta, Vijay 17 Deo, Naokant 17 Dirik, Fadime 15 Kajla, Arun 15 Mishra, Vishnu Narayan 15 Mohiuddine, Syed Abdul 13 Aral, Ali 13 Doğru, Ogün 12 Paikray, Susanta Kumar 12 Taş, Emre 11 Acu, Ana Maria 11 Anastassiou, George Angelos 11 Baxhaku, Behar 11 Kadak, Ugur 11 Yurdakadim, Tuğba 10 Boccuto, Antonio 10 Jena, Bidu Bhusan 10 Rao, Nadeem 9 Aktuglu, Huseyin 9 Alotaibi, Abdullah M. 9 Mahmudov, Nazim Idrisoglu 9 Orhan, Sevda 8 Ansari, Khursheed Jamal 8 Atlihan, Özlem Girgin 8 Bhardwaj, Neha 8 Goyal, Meenu 8 Hazarika, Bipan 8 Soylemez, Dilek 8 Ünver, Mehmet 7 Chattopadhyay, Joydev 7 Et, Mikail 7 Kışı, Ömer 7 Kumar, Angamuthu Sathish 7 Mansour, Toufik 7 Örkcü, Mediha 6 Acar, Tuncer 6 Agratini, Octavian 6 Aslan, Ismail 6 Bardaro, Carlo 6 Çekım, Bayram 6 Costarelli, Danilo 6 Dimitriou, Xenofon 6 Dutta, Hemen 6 Gadjiev, Akif Djafar oglu 6 Karakus, Sevda 6 Kaymakçalan, Billur 6 Kumar, Vijay 6 Mantellini, Ilaria 6 Orhan, Cihan 6 Patel, Prashantkumar Gordhanbhai 6 Samanta, Sudip 6 Yılmaz, Emrah Sercan 5 Aktaş, Rabia 5 Altin, Yavuz 5 Altundag, Selma 5 Bhardwaj, Vinod Kumar 5 Biswas, Santanu 5 Cai, Qingbo 5 Coroianu, Lucian C. 5 Gal, Sorin Gheorghe 5 Garrancho, Pedro 5 Gökçer, Türkan Yeliz 5 Gurdal, Mehmet 5 İspir, Nurhayat 5 Kumar, Ajay 5 Merdan, Hüseyin 5 Misra, Uma Kanta 5 Pratap, Ram 5 Teng, Zhi-dong 5 Wafi, Abdul 5 Yilmaz, Övgü Gürel 4 Cárdenas-Morales, Daniel 4 Celik, Canan 4 Cinar, Muhammed 4 Çınar, Selin 4 Erkuş-Duman, Esra 4 Erkus, Esra 4 Esi, Ayhan 4 Finta, Zoltán 4 Gupta, Pooja 4 Hu, Zengyun 4 Kayar, Zeynep 4 Lin, Qiu 4 Liu, Shuoh-Jung 4 Loku, Valdete 4 Rahman, Shagufta 4 Şahin Bayram, Nilay 4 Saifuddin, Mohammad 4 Sen, Mausumi 4 Shukla, Rahul 4 Singh, Sompal 4 Talo, Özer ...and 580 more Authors all top 5 Cited in 166 Serials 43 Applied Mathematics and Computation 24 Mathematical Methods in the Applied Sciences 23 Journal of Inequalities and Applications 20 Results in Mathematics 19 Filomat 19 Advances in Difference Equations 18 Abstract and Applied Analysis 17 Chaos, Solitons and Fractals 17 Mathematical and Computer Modelling 16 Positivity 15 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. 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Theory and Methods 3 Analysis (München) 3 Discrete and Continuous Dynamical Systems. Series B 3 Applied Mathematics E-Notes 3 Journal of Function Spaces and Applications 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Complex Analysis and Operator Theory 3 Operators and Matrices 3 Afrika Matematika 3 Journal of Applied Analysis and Computation 3 Palestine Journal of Mathematics 3 Khayyam Journal of Mathematics 3 AIMS Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Biosciences 2 Acta Mathematica Vietnamica 2 Fuzzy Sets and Systems 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Approximation Theory 2 Mathematics and Computers in Simulation 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Quaestiones Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 Facta Universitatis. 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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 Journal of Applied Mathematics & Informatics 2 Analysis and Mathematical Physics 2 Journal of Mathematics 2 Sahand Communications in Mathematical Analysis ...and 66 more Serials all top 5 Cited in 33 Fields 468 Approximations and expansions (41-XX) 262 Sequences, series, summability (40-XX) 110 Real functions (26-XX) 91 Biology and other natural sciences (92-XX) 58 Functional analysis (46-XX) 47 Ordinary differential equations (34-XX) 44 Operator theory (47-XX) 31 Dynamical systems and ergodic theory (37-XX) 27 Difference and functional equations (39-XX) 23 Special functions (33-XX) 17 Numerical analysis (65-XX) 13 Partial differential equations (35-XX) 12 General topology (54-XX) 11 Functions of a complex variable (30-XX) 9 Probability theory and stochastic processes (60-XX) 8 Measure and integration (28-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Integral equations (45-XX) 7 Statistics (62-XX) 5 Mathematical logic and foundations (03-XX) 5 Systems theory; control (93-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 3 Computer science (68-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Information and communication theory, circuits (94-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral transforms, operational calculus (44-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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