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Approximation properties of a new family of Gamma operators and their applications

delete2021-11-24
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OA
AI
R
Reyhan Özçelik
E
Emrah Evren Kara *
F
Fuat Usta
K
Khursheed J‎. ‎Ansari
DOI:10.1186/s13662-021-03666-5delete
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Abstract

Abstract

En 中文
The present paper introduces a new modification of Gamma operators that protects polynomials in the sense of the Bohman-Korovkin theorem. In order to examine their approximation behaviours, the approximation properties of the newly introduced operators such as Voronovskaya-type theorems, rate of convergence, weighted approximation, and pointwise estimates are presented. Finally, we present some numerical examples to verify that the newly constructed operators are an approximation procedure.
Keywords:
Gamma operators
Modulus of continuity
Voronovskaya theorem
Korovkin-type theorem
Shape-preserving approximation

Journal

Advances in Difference Equations cover
Advances in Difference Equations
IF:
3.1
Papers:
4.7K
Citations:
7.4K

Organization

D
duzce university
Scholars:
1.5K
Papers: 1.6K
Citations: 14
K
King Khalid University
Scholars:
1.1W
Papers: 1.3W
Citations: 1.5W
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