English

Bivaraiate Generalized Baskakov Kantorovich Operators

Classical Analysis and ODEs 2015-05-25 v1

Abstract

This paper is in continuation of our work in \cite{PNM}, wherein we introduced generalized Baskakov Kantorovich operators Kna(f;x)K_n^a(f;x) and established some approximation properties e.g. local approximation, weighted approximation, simultaneous approximation and AA-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)K_n^a(f;x) and discuss results on the degree of approximation, Voronovskaja type theorems and their first order derivatives in polynomial weighted spaces.

Keywords

Cite

@article{arxiv.1505.06071,
  title  = {Bivaraiate Generalized Baskakov Kantorovich Operators},
  author = {Meenu Goyal and P. N. Agrawal},
  journal= {arXiv preprint arXiv:1505.06071},
  year   = {2015}
}

Comments

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R2 v1 2026-06-22T09:39:30.579Z