Investigation of the Asymptotic Behavior of Generalized Baskakov-Durrmeyer-Stancu Type Operators

npj Clean Water

article

Gülten TORUN¹  Meliha MERCAN BOYRAZ²  Ülkü DİNLEMEZ KANTAR² 

[1] KASTAMONU UNIVERSITY, FACULTY OF EDUCATION;GAZİ ÜNİVERSİTESİ

关键词: Voronovskaja type theorem;    Baskakov Durrmeyer Stancu type operators;    Baskakov operators;   

DOI  :  10.17776/csj.1030637

学科分类：社会科学、人文和艺术（综合）

来源: Springer

【 摘 要 】

In this manuscript, we firstly find the Korovkin test functions for the Baskakov operators, secondly, we find thegeneralized Baskakov-Durrmeyer-Stancu type operators. Thirdly, we give the modulus of continuity for thegeneralized Baskakov-Durrmeyer-Stancu type operators. Then, the asymptotic approach of these operators hasbeen studied by using the Voronovskaja-type theorem. Finally, it is demonstrated that the generalized BaskakovDurrmeyer-Stancu type operators converge to the considered function by plotting the graphs. Moreover, theconvergence of the generalized Baskakov-Durrmeyer-Stancu type operators is compared with that of someother operators to the same function.

【 授权许可】

CC BY