Approximation Properties of Kantorovich Type Modifications of $(p, q)-$Meyer-König-Zeller Operators

Year 2018, Volume: 1 Issue: 1, 58 - 72, 15.09.2018

Ramapati Maurya , Honey Sharma Cheeena Gupta

https://doi.org/10.33205/cma.436071

Cited By: 7

Abstract

In this paper, we introduce Kantorovich type modification of $(p, q)$-Meyer-König-Zeller operators. We estimate rate of convergence of proposed operators using modulus of continuity and Lipschitz class functions. Further, we obtain the statistical convergence and local approximation results for these operators. In the last section, we estimate the rate of convergence of $(p, q)$-Meyer-König-Zeller Kantorovich operators by means of Matlab programming.

Keywords

Modulus of continuity, Statistical Convergence, (p q)-Calculus, (p q)-Meyer-König-Zeller operators, Peetre's K-functional

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