On Some Summability Methods for a q-Analogue of an Integral Type Operator Based on Multivariate q-Lagrange Polynomials. (19th May 2022)

• Record Type: Journal Article
• Authors: Agrawal, Purshottam Narain; Shukla, Rahul; Baxhaku, Behar
• Is Part Of: Numerical functional analysis and optimization. Volume 43:Number 7(2022)
• Page Start: 796
• Page End: 815
• Publication Date: 2022-05-19
• Subjects: A-statistical convergence -- convergence by power series method -- deferred weighted A-statistical convergence -- multivariate Lagrange polynomials -- natural density -- q-multivariate Lagrange polynomials; 41A25 -- 41A36 -- 33C45 -- 26A15; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2022.2056199
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: The present paper considers a q -analogue of an operator defined by Erkuş-Duman et al. ( Calcolo, 45(1):53–67, 2008) involving q -Lagrange polynomials in several variables. The Korovkin type theorems in the settings of deferred weighted A-statistical convergence and the power series method are investigated.