On the Convex Coefficient of Musielak-Orlicz Sequence Space Equipped with Orlicz Norm
This paper mainly studies the convex coefficients of the Musielak-Orlicz sequence space equipped the Orlicz norm. Due to the complexity of the Musielak-Orlicz sequence space with Orlicz norm and the cumbersome calculation, no one has yet given the calculation formula of the convex coefficient of thi...
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| Format: | Article |
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Harbin University of Science and Technology Publications
2022-12-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2167 |
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| _version_ | 1849713657767788544 |
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| author | CUI Yun-an GUO Tian-bao |
| author_facet | CUI Yun-an GUO Tian-bao |
| author_sort | CUI Yun-an |
| collection | DOAJ |
| description | This paper mainly studies the convex coefficients of the Musielak-Orlicz sequence space equipped the Orlicz norm. Due to the complexity of the Musielak-Orlicz sequence space with Orlicz norm and the cumbersome calculation, no one has yet given the calculation formula of the convex coefficient of this space. This paper uses a special method to give an accurate calculation formula for the Musielak-Orlicz sequence space loΦ with Orlicz norm, so as to fill the gap in the convex coefficient of the Musielak-Orlicz sequence space with Orlicz norm. |
| format | Article |
| id | doaj-art-142c8b8cb7a44ee488f2518743965b58 |
| institution | DOAJ |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2022-12-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-142c8b8cb7a44ee488f2518743965b582025-08-20T03:13:54ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832022-12-01270613213610.15938/j.jhust.2022.06.016On the Convex Coefficient of Musielak-Orlicz Sequence Space Equipped with Orlicz NormCUI Yun-an0GUO Tian-bao1School of Sciences, Harbin University of Science and Technology, Harbin 150080, ChinaSchool of Sciences, Harbin University of Science and Technology, Harbin 150080, ChinaThis paper mainly studies the convex coefficients of the Musielak-Orlicz sequence space equipped the Orlicz norm. Due to the complexity of the Musielak-Orlicz sequence space with Orlicz norm and the cumbersome calculation, no one has yet given the calculation formula of the convex coefficient of this space. This paper uses a special method to give an accurate calculation formula for the Musielak-Orlicz sequence space loΦ with Orlicz norm, so as to fill the gap in the convex coefficient of the Musielak-Orlicz sequence space with Orlicz norm.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2167convexity coefficientconvexity modularuniformly convex |
| spellingShingle | CUI Yun-an GUO Tian-bao On the Convex Coefficient of Musielak-Orlicz Sequence Space Equipped with Orlicz Norm Journal of Harbin University of Science and Technology convexity coefficient convexity modular uniformly convex |
| title | On the Convex Coefficient of Musielak-Orlicz Sequence Space Equipped with Orlicz Norm |
| title_full | On the Convex Coefficient of Musielak-Orlicz Sequence Space Equipped with Orlicz Norm |
| title_fullStr | On the Convex Coefficient of Musielak-Orlicz Sequence Space Equipped with Orlicz Norm |
| title_full_unstemmed | On the Convex Coefficient of Musielak-Orlicz Sequence Space Equipped with Orlicz Norm |
| title_short | On the Convex Coefficient of Musielak-Orlicz Sequence Space Equipped with Orlicz Norm |
| title_sort | on the convex coefficient of musielak orlicz sequence space equipped with orlicz norm |
| topic | convexity coefficient convexity modular uniformly convex |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2167 |
| work_keys_str_mv | AT cuiyunan ontheconvexcoefficientofmusielakorliczsequencespaceequippedwithorlicznorm AT guotianbao ontheconvexcoefficientofmusielakorliczsequencespaceequippedwithorlicznorm |