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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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/5408136 |
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| _version_ | 1832558338487877632 |
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| author | Jieyu Huang Qiulan Qi |
| author_facet | Jieyu Huang Qiulan Qi |
| author_sort | Jieyu Huang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b135e14d5b0246b99c3015e8d892c7ea |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b135e14d5b0246b99c3015e8d892c7ea2025-02-03T01:32:41ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/5408136Approximation Properties of a New Gamma OperatorJieyu Huang0Qiulan Qi1School of Mathematical SciencesSchool of Mathematical SciencesThis 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.http://dx.doi.org/10.1155/2022/5408136 |
| spellingShingle | Jieyu Huang Qiulan Qi Approximation Properties of a New Gamma Operator Journal of Mathematics |
| title | Approximation Properties of a New Gamma Operator |
| title_full | Approximation Properties of a New Gamma Operator |
| title_fullStr | Approximation Properties of a New Gamma Operator |
| title_full_unstemmed | Approximation Properties of a New Gamma Operator |
| title_short | Approximation Properties of a New Gamma Operator |
| title_sort | approximation properties of a new gamma operator |
| url | http://dx.doi.org/10.1155/2022/5408136 |
| work_keys_str_mv | AT jieyuhuang approximationpropertiesofanewgammaoperator AT qiulanqi approximationpropertiesofanewgammaoperator |