Quantitative Estimates of Generalized Boolean Sum Operators of Blending Type. (17th February 2018)

• Record Type: Journal Article
• Authors: Agrawal, P. N.; Ispir, Nurhayat; Sidharth, Manjari
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 3(2018)
• Page Start: 295
• Page End: 307
• Publication Date: 2018-02-17
• Subjects: Bögel-continuity -- Bögel-differentiability -- GBS operators -- modulus of smoothness -- partial moduli of continuity -- q-Bernstein–Schurer–Kantorovich operators; 41A25 -- 41A35 -- 41A36 -- 41A63; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1360347
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: Sharma (Appl. Math. Comput. 259:741–752) introduced the mixed summation integral-type two-dimensional q –Lupaş–Phillips–Bernstein operators, wherein he established the rate of approximation by applying Korovkin theorem and studied the weighted approximation properties. The goal of this paper is to establish a Voronovskaja-type theorem and introduce the associated generalized Boolean Sum (GBS) case of these operators and study the degree of approximation by the Lipschitz class of Bögel continuous functions and the mixed modulus of smoothness. Furthermore, we show the rate of convergence of the bivariate operators and the corresponding GBS operators by illustrative graphics and numerical examples using Maple algorithms.