Approximation by bivariate Lupas and Szasz-Brenke type operators

摘要

In this study, a combination of Lupas operators and Chlodowsky-Szasz operators based on Brenke polynomials is introduced. The degree of approximation of these bivariate operators is examined in terms of the complete modulus and partial modulus of continuity and results related to Lipschitz classes are given. Finally, the rate of convergence of the operators to certain functions are given by graphical examples.