Approximation Properties of New Modified Gamma Operators. (15th May 2021)

• Record Type: Journal Article
• Authors: Wu, Yun-Shun; Cheng, Wen-Tao; Zhou, Wei-Ping; Deng, Lun-Zhi
• Other Names: Acar Tuncer Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-05-15
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6696979
• Languages: English
• ISSNs: 2314-8896

Abstract

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.