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arXiv · 1505.06071

Bivaraiate Generalized Baskakov Kantorovich Operators

Meenu Goyal·P. N. Agrawal
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Abstract

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

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Meenu Goyal, P. N. Agrawal. 2015-05-22. Bivaraiate Generalized Baskakov Kantorovich Operators. https://arxiv.org/abs/1505.06071

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