Generalized p, q-Gamma-type operators. (11th July 2020)

• Record Type: Journal Article
• Authors: Cheng, Wen-Tao; Cai, Qing-Bo
• Other Names: Mohiuddine Syed Abdul Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-07-11
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/8978121
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In the present paper, the generalized p, q -gamma-type operators based on p, q -calculus are introduced. The moments and central moments are obtained, and some local approximation properties of these operators are investigated by means of modulus of continuity and Peetre K -functional. Also, the rate of convergence, weighted approximation, and pointwise estimates of these operators are studied. Finally, a Voronovskaja-type theorem is presented.