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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A Voronovskaya-type theorem for a certain nonlinear Bernstein operators [PDF]
, 2015 The present paper concerns with the nonlinear Bernstein operators NBnf of the form ... acting on bounded functions on an interval [0; 1]; where Pn;k satisfy some suitable assumptions.
ATIN, Huseyin Erhan, KARSLI, Harun
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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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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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Approximation properties of Bernstein-Kantorovich type operators of two variables
, 2019 In this study, the generalized Bernstein-Kantorovich type operators are introduced and some approximation properties of these operators are studied in the space of continuous functions of two variables on a compact set .
Karahan, Döne, İzgi, Aydın
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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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The rate of convergence of the poisson integrals for Hermite and Laguerre expansions and the Voronovskaya theorem [PDF]
, 2018 Bu çalışma dört bölümden oluşmaktadır. Birinci bölümde; bu konuda yapılan çalışmalar ve tezin genel amacı verilmiştir. İkinci bölümde; temel kavramlar ve teoremler üzerinde durulmuştur.
Çoban, Cemaynur
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