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Some approximation results by (p, q)-analogue of Bernstein-Stancu operators
Journal article   Peer reviewed

Some approximation results by (p, q)-analogue of Bernstein-Stancu operators

M. Mursaleen, Khursheed J. Ansari and Asif Khan
Applied mathematics and computation, Vol.264, pp.392-402
01/08/2015
DOI: https://doi.org/10.1016/j.amc.2015.03.135

Abstract

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

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