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Parametric Extension of a Certain Family of Summation-Integral Type Operators
2023
Journal:  
Cumhuriyet Science Journal
Author:  
DOI:  
10.17776/csj.1173496
Abstract:

In this paper, we introduce a parametric extension of a certain family of summation-integral type operators on the interval [0,∞). Firstly, we obtain test functions and central moments. Secondly, we investigate weighted approximation properties for these operators and estimate the rate of convergence. Then, we give a pointwise approximation for the Peetre K-functional and functions of the Lipschitz class. Moreover, we demonstrate Voronovskaja type theorem for the operators. Finally, the convergence properties of operators to some functions are illustrated by graphics.

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2023
Journal:  
Cumhuriyet Science Journal
Author:  
DOI:  
10.17776/csj.1173496
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Cumhuriyet Science Journal

Field :   Fen Bilimleri ve Matematik; Mühendislik

Journal Type :   Uluslararası

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Article : 1.227
Cite : 562
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Cumhuriyet Science Journal