On Stancu type generalization of (p,q)-Baskakov-Kantorovich operators

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:68 Issue:2
On Stancu type generalization of (p,q)-Baskakov-Kantorovich operators

On Stancu type generalization of (p,q)-Baskakov-Kantorovich operators

Authors : Kadir KANAT, Melek SOFYALIOĞLU

Pages : 1995-2013

Doi:10.31801/cfsuasmas.478852

View : 16 | Download : 9

Publication Date : 2019-08-01

Article Type : Research Paper

Abstract :In the current paper, we introduce Stancu type generalization of Baskakov-Kantorovich operators based on insert ignore into journalissuearticles values(p, q);-integers and estimate the moments. We show the convergence of the new operators via the weighted Korovkin theorem. Then we investigate direct results by using Peetre’s Kfunctional and modulus of continuity. In addition, we give pointwise estimation by the help of functions belonging to Lipschitz class. Moreover, we demonstrate the Voronovskaya-type theorem for our operators. In the last section, we represent some illustrative graphics to show the convergence of the constructed operators to the selected function by using MATLAB.
Keywords : weighted Korovkin theorem, q integers, voronovskaya type theorem

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