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Approximation by -Lupaş-Schurer-Kantorovich operators
Kadir Kanat1, Melek Sofyalıoğlu1
1Ankara Hacı Bayram Veli University Polatlı Faculty of Science and Arts, Ankara, Turkey.
Abstract:
In the current paper, we examine the -analogue of Kantorovich type Lupaş-Schurer operators with the help of -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 -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 -integers.
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