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

2016/03/20 by Uğur Kadak, Asif Khan, Kadak, U. +3 · 1 citation
Mathematics · #Approximation Theory and Sequence Spaces #Iterative Methods for Nonlinear Equations #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1603.08539

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.

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

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