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Approximation properties of (p,q)-Meyer-Konig-Zeller Durrmeyer operators

2017/06/11 by Honey Sharma, Sharma, Honey, Cheena Gupta +3
Mathematics · #Approximation Theory and Sequence Spaces #Mathematical Approximation and Integration #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1706.07279

Abstract

In this paper, we introduce Durrmeyer type modification of Meyer-Konig-Zeller operators based on (p,q)-integers. Rate of convergence of these operators are explored with the help of Korovkin type theorems. We establish some direct results for proposed operators. We also obtain statistical approximation properties of operators. In last section, we show rate of convergence of (p,q)-Meyer-Konig-Zeller Durrmeyer operators for some functions by means of Matlab programming.

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