Approximation Theorems for Localized Baskakov Operators. (21st May 2021)

• Record Type: Journal Article
• Authors: Xie, Linsen; Xie, Tingfan; Du, Hong
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 4(2021)
• Page Start: 396
• Page End: 408
• Publication Date: 2021-05-21
• Subjects: Approximation order -- convergence -- localized Baskakov operator; 41A36 -- 41A25; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1881971
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: We investigate the relation between the convergence of the localized Baskakov operators and the number of their terms N + 1. We obtain the limit functions and the approximation orders by the localized Baskakov operators under some conditions for N . A new estimate about the kernel of the Baskakov operators is achieved by using one of the central limit theorems in probability theory as well.