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arxiv: 1603.08539 · v2 · pith:RUYC2F3Onew · submitted 2016-03-20 · 🧮 math.CA

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

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keywords operatorsmeyer-konigzellerconvergencesomeapproximationbinomialcalculus
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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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