On certain family of mixed summation integral type two-dimensional q-Lupaş–Phillips–Bernstein operators

摘要

In the present paper, we introduce a two dimensional mixed summation–integral type q-Lupaş–Phillips–Bernstein operators on a rectangular domain □=[0,1]×[0,1] and investigate their Korovkin type approximation properties. We compute the rate of convergence of these new operators by means of the full and partial modulus of continuity. We also establish the order of approximation for the operators by using the Peetre K-functional. In last section, we get some numerical examples for operator.