On Approximation Properties of Generalized q-Bernstein Operators. (4th July 2018)

• Record Type: Journal Article
• Authors: Karahan, Döne; Izgi, Aydın
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 9(2018)
• Page Start: 990
• Page End: 998
• Publication Date: 2018-07-04
• Subjects: Bernstein operator -- Korovkin theorem -- q-integers -- modulus of continuity; 41A25 -- 41A36; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1449755
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this study, we identify a generalization of q -Bernstein type operators and investigate approximation properties of a sequence of these operators . We estimate rate of approximation by modulus of continuity. We prove Voronovskaya type theorem for these operators.