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

English (OpenAlex)

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.