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Approximation properties of a new family of Gamma operators and their applications
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DOI:10.1186/s13662-021-03666-5.png)
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
IF:
3.1
Papers:
4.7K
Citations:
7.4K
