Bivariate Baskakov type operators

Abstract

The goal of this paper is to propose a modern and comprehensive exposition of the main aspects of functions for bivariate Baskakov type operators. Primarily, we prove that operators preserve Lipschitzs constant of a Lipschitz continuous function. Then, we demonstrate that given operators can maintain some properties of the function f. Ultimately, we deal with the monotony of the bivariate Baskakov type operators for which the approximating function is convex. That is to say, we discuss that investigated operators are monotonically nonincreasing for n while f is $$\varsigma $$ -convex.