The Integral Type Modification of Jain Operators and its Approximation Properties. (10th September 2018)

• Record Type: Journal Article
• Authors: Mishra, Vishnu Narayan; Patel, Prashantkumar; Mishra, Lakshmi Narayan
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 12(2018)
• Page Start: 1265
• Page End: 1277
• Publication Date: 2018-09-10
• Subjects: Jain operators -- King-type operators -- weighted approximation; Primary: 41A25 -- 41A30 -- 41A36; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1477796
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In the present paper, we discuss the approximation properties of Durrmeyer-Stancu type variant of Jain operators with the modified forms of the Beta basis functions. We establish some direct results, which include the asymptotic formula, the error estimation in terms of the modulus of continuity and weighted approximation. Also, we construct a King modification of these operators which preserves the test functions e 0 and e 1 .