Complex Convexity of Orlicz Modular Sequence Spaces
The concepts of complex extreme points, complex strongly extreme points, complex strict convexity, and complex midpoint locally uniform convexity in general modular spaces are introduced. Then we prove that, for any Orlicz modular sequence space lΦ,ρ, lΦ,ρ is complex midpoint locally uniformly conve...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/5917915 |
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| _version_ | 1832564837992890368 |
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| author | Lili Chen Deyun Chen Yang Jiang |
| author_facet | Lili Chen Deyun Chen Yang Jiang |
| author_sort | Lili Chen |
| collection | DOAJ |
| description | The concepts of complex extreme points, complex strongly extreme points, complex strict convexity, and complex midpoint locally uniform convexity in general modular spaces are introduced. Then we prove that, for any Orlicz modular sequence space lΦ,ρ, lΦ,ρ is complex midpoint locally uniformly convex. As a corollary, lΦ,ρ is also complex strictly convex. |
| format | Article |
| id | doaj-art-a099acce6b264c8e8bfdda979d8c5a69 |
| 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-a099acce6b264c8e8bfdda979d8c5a692025-02-03T01:10:01ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/59179155917915Complex Convexity of Orlicz Modular Sequence SpacesLili Chen0Deyun Chen1Yang Jiang2Post-Doctoral Station for Computer Science and Technology, Harbin University of Science and Technology, Harbin 150080, ChinaPost-Doctoral Station for Computer Science and Technology, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaThe concepts of complex extreme points, complex strongly extreme points, complex strict convexity, and complex midpoint locally uniform convexity in general modular spaces are introduced. Then we prove that, for any Orlicz modular sequence space lΦ,ρ, lΦ,ρ is complex midpoint locally uniformly convex. As a corollary, lΦ,ρ is also complex strictly convex.http://dx.doi.org/10.1155/2016/5917915 |
| spellingShingle | Lili Chen Deyun Chen Yang Jiang Complex Convexity of Orlicz Modular Sequence Spaces Journal of Function Spaces |
| title | Complex Convexity of Orlicz Modular Sequence Spaces |
| title_full | Complex Convexity of Orlicz Modular Sequence Spaces |
| title_fullStr | Complex Convexity of Orlicz Modular Sequence Spaces |
| title_full_unstemmed | Complex Convexity of Orlicz Modular Sequence Spaces |
| title_short | Complex Convexity of Orlicz Modular Sequence Spaces |
| title_sort | complex convexity of orlicz modular sequence spaces |
| url | http://dx.doi.org/10.1155/2016/5917915 |
| work_keys_str_mv | AT lilichen complexconvexityoforliczmodularsequencespaces AT deyunchen complexconvexityoforliczmodularsequencespaces AT yangjiang complexconvexityoforliczmodularsequencespaces |