Approximation by Meyer-Konig and Zeller Operators using (p, q)-CALCULUS

preprint2016arXivOpen access

Abstract

In this paper, we introduce a generalization of the qq-Meyer-Konig and Zeller operators by means of the (p,q)(p,q)-integers as well as of the (p,q)(p,q)-Gaussian binomial coefficients. For 0<q<p<=1, 0< q < p <= 1, the sequence of the (p,q)(p,q)-Meyer-Konig and Zeller operators denoted by Mn,p,qM_n,p,q and some results based on statistical convergence and direct theorems is obtained. Furthermore, we show comparisons and some illustrative graphics for the convergence of operators to a function.

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