Statistical approximation to Chlodowsky type q-Bernstein-Schurer-Stancu-Kantorovich operators

Year 2017, Volume: 5 Issue: 1, 108 - 121, 30.04.2017

Behar Baxhaku Fevzi Berisha

https://doi.org/10.36753/mathenot.421714

Cited By: 2

Abstract

In this paper we introduce two kinds of Chlodowsky-type q-Bernstein-Schurer-Stancu- Kantorovich
operators on the onbounded domain. The Korovkin type statistical approximation property of these
operators are investigated. We investigated the rate of convergence for this approximation by means of
the first and the second modulus of continuity. The rate of convergence is investigated by using Lipschitz
classes of functions and the modulus of continuity of the derivative of the function. Then, we obtain
point-wise estimate the Lipchitz type maximal function.

Keywords

Chlodowsky–type, q-Bernstein-Schurer-Stancu-Kantorivich, q-integer, modulus of continuity

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