Applications of Generalized Weighted Statistical Convergence to Approximation Theorems for Functions of One and Two Variables. (27th December 2020)

• Record Type: Journal Article
• Authors: Özger, Faruk
• Is Part Of: Numerical functional analysis and optimization. Volume 41:Number 16(2020)
• Page Start: 1990
• Page End: 2006
• Publication Date: 2020-12-27
• Subjects: λ-Bernstein operators -- bivariate Bernstein operators -- rate of weighted statistical convergence -- statistical approximation properties -- weighted statistical Voronovskaja-type theorem; 40A05 -- 41A25 -- 41A36; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2020.1868503
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this article, we apply weighted A − statistical convergence to obtain some general approximation results for λ − Bernstein operators. We prove a weighted A − statistical Voronovskaja-type approximation theorem. We support our theoretical parts about approximation properties of constructed bivariate λ − Bernstein operators with numerical results and graphics.