A Note on Smooth Points in Orlicz Sequence Spaces
In this paper，when φ( u) /u→A( u→∞ ) the criterion of smooth points in Orlicz sequence space generated by general Orlicz functions and the equivalence conditions of smooth points with very smooth points and strong smooth points are given. On this basis，the sufficient and necessary conditions for s...
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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2021-06-01
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| Series: | Journal of Harbin University of Science and Technology |
| Subjects: | |
| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1983 |
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| _version_ | 1849338009495797760 |
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| author | WANG Jing CUI Yun-an |
| author_facet | WANG Jing CUI Yun-an |
| author_sort | WANG Jing |
| collection | DOAJ |
| description | In this paper，when φ( u) /u→A( u→∞ ) the criterion of smooth points in Orlicz sequence space
generated by general Orlicz functions and the equivalence conditions of smooth points with very smooth points and
strong smooth points are given. On this basis，the sufficient and necessary conditions for smooth points in Orlicz
sequence space are derived，so that the criterion of smooth points in Orlicz space can be solved. |
| format | Article |
| id | doaj-art-e0843d2bceef4496b806409147e69178 |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2021-06-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-e0843d2bceef4496b806409147e691782025-08-20T03:44:32ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832021-06-01260314715210.15938/j.jhust.2021.03.022A Note on Smooth Points in Orlicz Sequence SpacesWANG Jing0CUI Yun-an1School of Science，Harbin University of Science and Technology，Harbin 150080，ChinaSchool of Science，Harbin University of Science and Technology，Harbin 150080，ChinaIn this paper，when φ( u) /u→A( u→∞ ) the criterion of smooth points in Orlicz sequence space generated by general Orlicz functions and the equivalence conditions of smooth points with very smooth points and strong smooth points are given. On this basis，the sufficient and necessary conditions for smooth points in Orlicz sequence space are derived，so that the criterion of smooth points in Orlicz space can be solved.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1983orlicz spacesmooth pointsstrong ( very) smooth points |
| spellingShingle | WANG Jing CUI Yun-an A Note on Smooth Points in Orlicz Sequence Spaces Journal of Harbin University of Science and Technology orlicz space smooth points strong ( very) smooth points |
| title | A Note on Smooth Points in Orlicz Sequence Spaces |
| title_full | A Note on Smooth Points in Orlicz Sequence Spaces |
| title_fullStr | A Note on Smooth Points in Orlicz Sequence Spaces |
| title_full_unstemmed | A Note on Smooth Points in Orlicz Sequence Spaces |
| title_short | A Note on Smooth Points in Orlicz Sequence Spaces |
| title_sort | note on smooth points in orlicz sequence spaces |
| topic | orlicz space smooth points strong ( very) smooth points |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1983 |
| work_keys_str_mv | AT wangjing anoteonsmoothpointsinorliczsequencespaces AT cuiyunan anoteonsmoothpointsinorliczsequencespaces AT wangjing noteonsmoothpointsinorliczsequencespaces AT cuiyunan noteonsmoothpointsinorliczsequencespaces |