A Korovkin Type Approximation Theorem and Its Applications

Author:

Al-Muhja Malik Saad1

Affiliation:

1. Department of Mathematics and Computer Application, College of Sciences, University of Al-Muthanna, Samawa, Iraq

Abstract

We present a Korovkin type approximation theorem for a sequence of positive linear operators defined on the space of all real valued continuous and periodic functions viaA-statistical approximation, for the rate of the third order Ditzian-Totik modulus of smoothness. Finally, we obtain an interleave between Riesz's representation theory and Lebesgue-Stieltjes integral-i, for Riesz's functional supremum formula via statistical limit.

Funder

University of Al-Muthanna

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On weighted approximation of (Co)convex functions with polynomials of varying degrees;INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020;2021

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