Kantorovich Variant of Jain-Pethe Operators. (4th June 2021)

• Record Type: Journal Article
• Authors: Gupta, Vijay; Bustamante, J.
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 5(2021)
• Page Start: 551
• Page End: 566
• Publication Date: 2021-06-04
• Subjects: Affine function -- backward difference operator -- finite differences -- Jain-Pethe operators -- Moment generating function; 41A25 -- 41A30; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1895834
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In the present paper we establish a link between the Jain-Pethe operators and its Kantorovich type integral modification, by applying the methods of finite differences. We also consider a modification of the Kantorovich variant, preserving affine functions and establish some direct results in weighted spaces.