Approximation by modified q‐Gamma type operators in a polynomial weighted space. (30th August 2022)

• Record Type: Journal Article
• Authors: Singh, Jitendra Kumar; Agrawal, Purshottam Narain; Kajla, Arun
• Other Names: Gao Feng guestEditor.; Feng Wenying guestEditor.; Zhang Xinguang guestEditor.; Ge Fudong guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 46:Number 3(2023)
• Page Start: 3223
• Page End: 3236
• Publication Date: 2022-08-30
• Subjects: Gamma type operators -- modulus of continuity -- polynomial weighted space; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.8687
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this research article, we construct a q $$ q $$ ‐analogue of the operators defined by Betus and Usta (2020) and study approximation properties of these operators in a polynomial weighted space. Further, we modify these operators to study the approximation properties for differentiable functions in the same space and show that the modified operators give a better rate of convergence.