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Bivariate-Schurer-Stancu operators based on (p,q)-integers

Rao Nadeem (Department of Mathematics, Jamia Millia Islamia, New Delhi)
Wafi Abdul (Department of Mathematics, Jamia Millia Islamia, New Delhi)

The aim of this article is to introduce a bivariate extension of Schurer-Stancu operators based on (p,q)-integers. We prove uniform approximation by means of Bohman-Korovkin type theorem, rate of convergence using total modulus of smoothness and degree of approximation via second order modulus of smoothness, Peetre’s K-functional, Lipschitz type class.

Keywords: Schurer-Stancu, (p,q)-integers, modulus of smoothness, rate of convergence