Approximation Properties of New Modified Gamma Operators
This paper is aimed at constructing new modified Gamma operators using the second central moment of the classic Gamma operators. And we will compute the first, second, fourth, and sixth order central moments by the moment computation formulas, and their quantitative properties are researched. Then,...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6696979 |
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| _version_ | 1832566021840437248 |
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| author | Yun-Shun Wu Wen-Tao Cheng Wei-Ping Zhou Lun-Zhi Deng |
| author_facet | Yun-Shun Wu Wen-Tao Cheng Wei-Ping Zhou Lun-Zhi Deng |
| author_sort | Yun-Shun Wu |
| collection | DOAJ |
| description | This paper is aimed at constructing new modified Gamma operators using the second central moment of the classic Gamma operators. And we will compute the first, second, fourth, and sixth order central moments by the moment computation formulas, and their quantitative properties are researched. Then, the global results are established in certain weighted spaces and the direct results including the Voronovskaya-type asymptotic formula, and point-wise estimates are investigated. Also, weighted approximation of these operators is discussed. Finally, the quantitative Voronovskaya-type asymptotic formula and Grüss Voronovskaya-type approximation are presented. |
| format | Article |
| id | doaj-art-c99f6f25a60e49f3a6fa9af6259adacb |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c99f6f25a60e49f3a6fa9af6259adacb2025-02-03T01:05:27ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66969796696979Approximation Properties of New Modified Gamma OperatorsYun-Shun Wu0Wen-Tao Cheng1Wei-Ping Zhou2Lun-Zhi Deng3School of Mathematical Sciences, Guizhou Normal University, Guizhou, Guiyang 550001, ChinaSchool of Mathematics and Physics, Anqing Normal University, Anhui, Anqing 246133, ChinaSchool of Mathematics and Physics, Anqing Normal University, Anhui, Anqing 246133, ChinaSchool of Mathematical Sciences, Guizhou Normal University, Guizhou, Guiyang 550001, ChinaThis paper is aimed at constructing new modified Gamma operators using the second central moment of the classic Gamma operators. And we will compute the first, second, fourth, and sixth order central moments by the moment computation formulas, and their quantitative properties are researched. Then, the global results are established in certain weighted spaces and the direct results including the Voronovskaya-type asymptotic formula, and point-wise estimates are investigated. Also, weighted approximation of these operators is discussed. Finally, the quantitative Voronovskaya-type asymptotic formula and Grüss Voronovskaya-type approximation are presented.http://dx.doi.org/10.1155/2021/6696979 |
| spellingShingle | Yun-Shun Wu Wen-Tao Cheng Wei-Ping Zhou Lun-Zhi Deng Approximation Properties of New Modified Gamma Operators Journal of Function Spaces |
| title | Approximation Properties of New Modified Gamma Operators |
| title_full | Approximation Properties of New Modified Gamma Operators |
| title_fullStr | Approximation Properties of New Modified Gamma Operators |
| title_full_unstemmed | Approximation Properties of New Modified Gamma Operators |
| title_short | Approximation Properties of New Modified Gamma Operators |
| title_sort | approximation properties of new modified gamma operators |
| url | http://dx.doi.org/10.1155/2021/6696979 |
| work_keys_str_mv | AT yunshunwu approximationpropertiesofnewmodifiedgammaoperators AT wentaocheng approximationpropertiesofnewmodifiedgammaoperators AT weipingzhou approximationpropertiesofnewmodifiedgammaoperators AT lunzhideng approximationpropertiesofnewmodifiedgammaoperators |