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Approximation by the new modification of Bernstein-Stancu operators
2021
Journal:  
Cumhuriyet Science Journal
Author:  
Abstract:

The current paper deals with the new modification of Bernstein-Stancu operators which preserve constant and Korovkin’s other test functions in limit case. We study the uniform convergence of the newly defined operators. The rate of convergence is investigated by means of the modulus of continuity, by using functions of Lipschitz class and by the help of Peetre-K functionals. Then a Voronovskaya type asymptotic formula for the newly constructed Bernstein-Stancu operators is presented. Finally, some graphs are given to illustrate the convergence properties of operators to some functions.

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2021
Journal:  
Cumhuriyet Science Journal
Author:  
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Cumhuriyet Science Journal

Field :   Fen Bilimleri ve Matematik; Mühendislik

Journal Type :   Uluslararası

Metrics
Article : 1.227
Cite : 636
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Cumhuriyet Science Journal