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

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Mathematical Sciences and Applications E-Notes
Volume:5 Issue:1
Statistical approximation to Chlodowsky type q-Bernstein-Schurer-Stancu-Kantorovich operators

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

Authors : Behar BAXHAKU, Fevzi BERİSHA

Pages : 108-121

Doi:10.36753/mathenot.421714

View : 23 | Download : 9

Publication Date : 2017-04-30

Article Type : Research Paper

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 : Chlodowskytype, q Bernstein Schurer Stancu Kantorivich, q integer, modulus of continuity

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