Λ-Bernstein Operators Based on Pólya Distribution. (26th April 2023)

• Record Type: Journal Article
• Authors: Lipi, Km.; Deo, Naokant
• Is Part Of: Numerical functional analysis and optimization. Volume 44:Number 6(2023)
• Page Start: 529
• Page End: 544
• Publication Date: 2023-04-26
• Subjects: λ-Bernstein operators -- Lipschitz continuous functions -- Pólya-Eggenberger distribution; MSC 41A25 -- MSC 41A36; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2023.2185896
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this manuscript, we propose a Pólya distribution-based generalization of λ -Bernstein operators. We establish some fundamental results for convergence as well as order of approximation of the proposed operators. We present theoretical result and graph to demonstrate the proposed operator's intriguing ability to interpolate at the interval's end points. In order to illustrate the convergence of proposed operators as well as the effect of changing the parameter " μ, " we provide a variety of results and graphs as our paper's conclusion.