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Approximation Properties of a New Gamma Operator

This paper deals with a kind of modification of the classical Gamma operators defined on the semiaxis which holds fixed functions 1 and e−μx μ>0. We study the uniform approximation effect and the direct results. We also investigate the weighted A-statistical convergence. Finally, the Voronovskaja...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2022-01, Vol.2022 (1)
Main Authors: Huang, Jieyu, Qi, Qiulan
Format: Article
Language:English
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Summary:This paper deals with a kind of modification of the classical Gamma operators defined on the semiaxis which holds fixed functions 1 and e−μx μ>0. We study the uniform approximation effect and the direct results. We also investigate the weighted A-statistical convergence. Finally, the Voronovskaja type asymptotic formula is given.
ISSN:2314-4629
2314-4785
DOI:10.1155/2022/5408136