Study of two dimensional α-modified Bernstein bi-variate operators

This research work is the study of two dimensional ?-Modified Bernstein sequence of operators. Further, to investigate various approximation results in the space of two dimensional continuous functions in terms of these sequence of operators. Next, we estimate some lemmas in terms of test functions and central moments. In subsequent sections, uniform convergence and order of approximation are studied. Moreover, we prove local approximation results in view of Lipschitz maximal functions. In the last section, approximation results in B?gel-spaces are discussed with the help of mixed-modulus of continuity.