Approximation Properties of a New Gamma Operator

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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Veröffentlicht in:Journal of mathematics (Hidawi) 2022-01, Vol.2022 (1)
Hauptverfasser: Huang, Jieyu, Qi, Qiulan
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Approximation
Inequality
Mathematical analysis
Mathematics
Operators (mathematics)
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Zusammenfassung: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