Approximation by Durrmeyer Type Exponential Sampling Operators. (2nd January 2022)

• Record Type: Journal Article
• Authors: Bajpeyi, Shivam; Kumar, A. Sathish; Mantellini, Ilaria
• Is Part Of: Numerical functional analysis and optimization. Volume 43:Number 1(2022)
• Page Start: 16
• Page End: 34
• Publication Date: 2022-01-02
• Subjects: Durrmeyer type exponential sampling operators -- Mellin derivative -- Mellin transform -- Peetre K-functional; 41A35 -- 30D10 -- 94A20 -- 41A25; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1980798
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In the present article, we derive some approximation results concerning the order of convergence for a family of Durrmeyer type exponential sampling operators. Further, we improve the rate of approximation by constructing linear combinations of these operators. At the end, we provide a few examples of the kernel functions to which the presented theory can be applied along with the graphical representation.