Approximation by ( p , q ) -Lupaş-Schurer-Kantorovich operators.

In the current paper, we examine the ( p , q ) -analogue of Kantorovich type Lupaş-Schurer operators with the help of ( p , q ) -Jackson integral. Then, we estimate the rate of convergence for the constructed operators by using the modulus of continuity in terms of a Lipschitz class function and by means of Peetre's K-functionals based on Korovkin theorem. Moreover, we illustrate the approximation of the ( p , q ) -Lupaş-Schurer-Kantorovich operators to appointed functions by the help of Matlab algorithm and then show the comparison of the convergence of these operators with Lupaş-Schurer operators based on ( p , q ) -integers.