Document Type : Research Paper

Authors

• Meenu Goyal ¹
• P. N. Agrawal ²

¹ School of Mathematics, Thapar Institute of Engineering and Technology, Patiala-147004, India

² Department of Mathematics, Indian Institute of Technology Roorkee-247667, India

Abstract

The purpose of this paper is to study the bivariate extension of the generalized Baskakov-Kantorovich operators and obtain results on the degree of approximation, Voronovskaja type theorems and their first order derivatives in polynomial weighted spaces. Furthermore, we illustrate the convergence of the bivariate operators to a certain function through graphics using Matlab algorithm. We also discuss the comparison of the convergence of the bivariate generalized Baskakov Kantorovich operators and the bivariate Sz'{a}sz-Kantorovich operators to the function through illustrations using Matlab.

Keywords

• Rate of convergence
• simultaneous approximation
• bivariate modulus of continuity