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  Citation Number 1
 Views 67
 Downloands 32
On Stancu Type Generalization Of (p,q)-baskakov-kantorovich Operators
2019
Journal:  
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Author:  
Abstract:

In the current paper, we introduce Stancu type generalization of Baskakov-Kantorovich operators based on (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.

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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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