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

用 (p, q)-Lupaş-Schurer-Kantorovich 算子进行近似

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Abstract

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.

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