Approximation Properties of Bivariate Generalization of Bleimann, Butzer and Hahn Operators Based on the q-Integers

摘要

In this presentation, bivariate case of BBH operators based on the q-integers is constructed. Then Korovkin type approximation properties of this generalization are obtained with the help of Volkov's Theorem. Lastly, we obtain rates of convergence of these operators by means of bivariate modulus of continuity and Lipschitz type maximal functions.