Approximation Properties of New Modified Gamma Operators-Reference-Cited by-同舟云学术

Approximation Properties of New Modified Gamma Operators

Published:2021-05-14 Issue: Volume:2021 Page:1-10
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Wu Yun-Shun¹^ORCID,Cheng Wen-Tao²^ORCID,Zhou Wei-Ping²^ORCID,Deng Lun-Zhi¹^ORCID

Affiliation:

1. School of Mathematical Sciences, Guizhou Normal University, Guizhou, Guiyang 550001, China

2. School of Mathematics and Physics, Anqing Normal University, Anhui, Anqing 246133, China

Abstract

This paper is aimed at constructing new modified Gamma operators using the second central moment of the classic Gamma operators. And we will compute the first, second, fourth, and sixth order central moments by the moment computation formulas, and their quantitative properties are researched. Then, the global results are established in certain weighted spaces and the direct results including the Voronovskaya-type asymptotic formula, and point-wise estimates are investigated. Also, weighted approximation of these operators is discussed. Finally, the quantitative Voronovskaya-type asymptotic formula and Grüss Voronovskaya-type approximation are presented.

Funder

Guizhou Normal University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/6696979.pdf

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