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On (p, q)-analogue of Bernstein operators
Journal article   Peer reviewed

On (p, q)-analogue of Bernstein operators

M. Mursaleen, Khursheed J. Ansari and Asif Khan
Applied mathematics and computation, Vol.266, pp.874-882
01/09/2015

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we intioduce a new analogue of Bernstein operators and we call it as (p, q)Bernstein operators which is a generalization of q-Bernstein operators. We also study approximation properties based on Korovkin's type approximation theorem of (p, q)-Bernstein operators and establish some direct theorems. Furthermore, we show comparisons and some illustrative graphics for the convergence of operators to a function. (C) 2015 Elsevier Inc. All rights reserved.

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