Szasz-Mirakjan Type Operators Of Two Variables Providing A Better Estimation On [0; 1] x [0; 1]

This paper deals with a modification of the classical Szasz-Mirakjan type operators of two variables. It introduces a new sequence of non-polynomial linear operators which hold fixed the polynomials x2 +?x and y2 +?y with ?, ? ? [0;?) and we study the convergence properties of the new approximation process. Also, we compare it with Szasz-Mirakjan type operators and show an improvement of the error of convergence in [0; 1] x [0; 1]. Finally, we study statistical convergence of this modification.