Statistical approximation results for Kantorovich-type operators involving some special polynomials

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Pergamon-Elsevier Science Ltd

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info:eu-repo/semantics/closedAccess

Abstract

In this paper we introduce a general sequence of Kantorovich-type operators associated with some special polynomials and study their approximation properties. Mainly, we compute the rates of A-statistical convergence of these operators, which are observed to be stronger than that of the operators used commonly in Approximation Theory. Furthermore, we present an rth order generalization of our sequence of Kantorovich-type operators. (c) 2007 Elsevier Ltd. All rights reserved.

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A-statistical convergence, infinite summability matrix, positive linear operators, Kantorovich-type operators, Lipschitz class, modulus of continuity, rth order generalizations

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Mathematical and Computer Modelling

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Volume

48

Issue

3-4

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