A-statistical approximation of generalized Szasz-Mirakjan-Beta operators

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Pergamon-Elsevier Science Ltd

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info:eu-repo/semantics/closedAccess

Abstract

In this paper we prove a Korovkin type approximation theorem and obtain the rate of convergence of the generalized Szasz-Mirakjan-Beta operators by means of modulus of continuity and elements of Lipschitz class. Furthermore we give the A-statistical approximation theorem for these operators and investigate the case which provides the best estimation. (C) 2011 Elsevier Ltd. All rights reserved.

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Positive linear operators, Korovkin type theorems, Summation-integral type operators, A-statistical convergence and statistical convergence, Szasz-Mirakjan-Beta operators

Journal or Series

Applied Mathematics Letters

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Volume

24

Issue

11

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