A genuine family of Bernstein-Durrmeyer type operators based on Polya basis functions
, 2017 In this paper, we construct a genuine family of Bernstein-Durrmeyer type operators based on Polya basis functions. We establish some moment estimates and the direct results which include global approximation theorem in terms of classical modulus
P.N. Agrawal, Trapti Neer
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The Voronovskaya theorem for some operators of the Szasz-Mirakjan type
, 1996 We give the Voronovskaya theorem for some operators of the Szasz-Mirakjan type defined in the space of functions continuous on [0,+infinity) and having the polynomial grouth at infinity. Some approximation properties of these operators are given in [2],
Skorupka, Mariola, Rempulska, Lucina
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Szász–Mirakjan type operators providing a better error estimation
, 2007 In this work, giving a modification of the well-known Szasz–Mirakjan operators, we prove that the error estimation of our operators is better than that of the classical Szasz–Mirakjan operators.
Duman, Oktay, Özarslan, M. Ali
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On Stancu type generalization of (p,q)-Baskakov-Kantorovich operators
, 2019 In the current paper, we introduce Stancu type generalization of Baskakov-Kantorovich operators based on (p, q)-integers and estimate the moments. We show the convergence of the new operators via the weighted Korovkin theorem.
Sofyalıoğlu, Melek, Kanat, Kadir
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Voronovskaya-Type Theorems for Derivatives of the Bernstein-Chlodovsky Polynomials and the Szász-Mirakyan Operator [PDF]
, 2009 This paper is devoted to a study of a Voronovskaya-type theorem for the derivative of the Bernstein–Chlodovsky polynomials and to a comparison of its approximation effectiveness with the corresponding theorem for the much better-known Szász–Mirakyan ...
Butzer, Paul Leo, Karsli, Harun
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Approximation by some combinations of Poisson integrals for Hermite and Laguerre expansions
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2013 The aim of this paper is the study of a rate of convergence of some combinations of Poisson integrals for Hermite and Laguerre expansions. We are able to achieve faster convergence for our modified operators over the Poisson integrals.
Grażyna Krech, Eugeniusz Wachnicki
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Approximation by the new modification of Bernstein-Stancu operators
Cumhuriyet Science Journal, 2021 The current paper deals with the new modification of Bernstein-Stancu operators which preserve constant and Korovkin’s other test functions in limit case. We study the uniform convergence of the newly defined operators.
Melek Sofyalıoğlu, Kadir Kanat
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Some properties of Baskakov-Schurer-Szasz operators via power summability methods
, 2019 In this paper we will prove the Korovkin type theorem for BaskakovSchurer-Sz´asz operators via the A-statistical convergence and the power summability method.
Braha, Naim L.
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Approximation properties of certain modified Szasz-Mirakyan operators [PDF]
, 2001 We introduce certain modified Szasz - Mirakyan operators in exponential weighted spaces of functions of one variable.
Rempulska, Lucyna, Walczak, Zbigniew
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Voronovskaya Type Asymptotic Expansions for Multivariate Generalized Discrete Singular Operators
, 2016 Here we give asymptotic expansions including simultaneous ones, for the multivariate generalized discrete versions of unitary Picard, Gauss-Weierstrass, and Poisson-Cauchy type singular operators.
Kester, Merve +3 more
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