Approximation Properties of p, q-Szász-Mirakjan-Durrmeyer Operators. (11th March 2021)

• Record Type: Journal Article
• Authors: Lin, Zhi-Peng; Cheng, Wen-Tao; Xu, Xiao-Wei
• Other Names: Mursaleen Mohammad Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-03-11
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6649570
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this article, we introduce a new Durrmeyer-type generalization of p, q -Szász-Mirakjan operators using the p, q -gamma function of the second kind. The moments and central moments are obtained. Then, the Voronovskaja-type asymptotic formula is investigated and point-wise estimates of these operators are studied. Also, some local approximation properties of these operators are investigated by means of modulus of continuity and Peetre K -functional. Finally, the rate of convergence and weighted approximation of these operators are presented.