2015/05/22 by Meenu Goyal, P. Ν. Agrawal, Goyal, Meenu +2
Decision Sciences · Mathematics · #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fuzzy and Soft Set Theory #Iterative Methods for Nonlinear Equations #math.CA
paper · pdf · doi:10.48550/arxiv.1505.06071
12
arxiv created 2015/05/22 · openalex publication_date 2015/05/22 · arxiv updated 2015/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper is in continuation of our work in \citePNM, wherein we introduced generalized Baskakov Kantorovich operators Kna(f;x) and established some approximation properties e.g. local approximation, weighted approximation, simultaneous approximation and A-statistical convergence. Also, we discussed the rate of convergence for functions having a derivative coinciding a.e. with a function of bounded variation. The purpose of this paper is to study the bivariate extension of the operators Kna(f;x) and discuss results on the degree of approximation, Voronovskaja type theorems and their first order derivatives in polynomial weighted spaces.