Characterization of Reflexivity by Convex Functions
A new convexity property of convex functions is introduced. This property provides, in particular, a characterization of the class of reflexive Banach spaces.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/8357427 |
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| _version_ | 1832568191507759104 |
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| author | Zhenghua Luo Qingjin Cheng |
| author_facet | Zhenghua Luo Qingjin Cheng |
| author_sort | Zhenghua Luo |
| collection | DOAJ |
| description | A new convexity property of convex functions is introduced. This property provides, in particular, a characterization of the class of reflexive Banach spaces. |
| format | Article |
| id | doaj-art-4da40ee81a7b4ea19a5eaea5fc24e110 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-4da40ee81a7b4ea19a5eaea5fc24e1102025-02-03T00:59:35ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/83574278357427Characterization of Reflexivity by Convex FunctionsZhenghua Luo0Qingjin Cheng1School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, ChinaSchool of Mathematical Sciences, Xiamen University, Xiamen 361005, ChinaA new convexity property of convex functions is introduced. This property provides, in particular, a characterization of the class of reflexive Banach spaces.http://dx.doi.org/10.1155/2016/8357427 |
| spellingShingle | Zhenghua Luo Qingjin Cheng Characterization of Reflexivity by Convex Functions Journal of Function Spaces |
| title | Characterization of Reflexivity by Convex Functions |
| title_full | Characterization of Reflexivity by Convex Functions |
| title_fullStr | Characterization of Reflexivity by Convex Functions |
| title_full_unstemmed | Characterization of Reflexivity by Convex Functions |
| title_short | Characterization of Reflexivity by Convex Functions |
| title_sort | characterization of reflexivity by convex functions |
| url | http://dx.doi.org/10.1155/2016/8357427 |
| work_keys_str_mv | AT zhenghualuo characterizationofreflexivitybyconvexfunctions AT qingjincheng characterizationofreflexivitybyconvexfunctions |