On Stancu type generalization of (p,q)-Baskakov-Kantorovich operators

Year 2019, Volume: 68 Issue: 2, 1995 - 2013, 01.08.2019

Kadir Kanat Melek Sofyalıoğlu

https://doi.org/10.31801/cfsuasmas.478852

Cited By: 5

Abstract

In the current paper, we introduce Stancu type generalization
of Baskakov-Kantorovich operators based on (p, q)-integers and estimate the
moments. We show the convergence of the new operators via the weighted
Korovkin theorem. Then we investigate direct results by using Peetre’s Kfunctional
and modulus of continuity. In addition, we give pointwise estimation
by the help of functions belonging to Lipschitz class. Moreover, we
demonstrate the Voronovskaya-type theorem for our operators. In the last
section, we represent some illustrative graphics to show the convergence of the
constructed operators to the selected function by using MATLAB.

Keywords

weighted Korovkin theorem, q integers, voronovskaya type theorem

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