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

Abstract

In this paper, we introduce a generalization of the $q$-Meyer-Konig and Zeller operators by means of the $(p,q)$-integers as well as of the $(p,q)$-Gaussian binomial coefficients. For $0<q<p<=1,$ the sequence of the $(p,q)$-Meyer-Konig and Zeller operators denoted by $M_n,p,q$ 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.

arXiv comment11 pages, 5 figures, title changed, new results added

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Cited by in corpus (1)

• Statistical approximation by $(p,q)$-analogue of Bernstein-Stancu Operators