| 引用本文： |
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伍一平,魏文展,杨祥钊,孙钰.局部凸空间的平均强凸性与平均强光滑性[J].广西科学,2010,17(2):102-104. [点击复制]
- WU Yi-ping,WEI Wen-zhan,YANG Xiang-zhao,SUN Yu.Average Strong Convexity and Average Strong Smoothness in Locally Convex Spaces[J].Guangxi Sciences,2010,17(2):102-104. [点击复制]
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| 摘要: |
| 给出局部凸空间平均强凸性和平均强光滑性的定义,刻画平均强凸和平均强光滑局部凸空间的特征,并建立了偶对平均强凸性和平均强光滑性之间的对偶关系. |
| 关键词: 局部凸空间 平均强凸性 平均强光滑性 |
| DOI： |
| 投稿时间：2009-10-09 |
| 基金项目:广西自然科学基金项目(桂科自0728050)资助。 |
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| Average Strong Convexity and Average Strong Smoothness in Locally Convex Spaces |
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WU Yi-ping1, WEI Wen-zhan2, YANG Xiang-zhao1, SUN Yu1
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| (1.School of Mathematical Sciences, Guangxi Teachers Education University, Nanning, Guangxi, 530023, China;2.Guangxi Economic Trade Polytechnic, Nanning, Guangxi, 530021, China) |
| Abstract: |
| The average strong convexity and average strong smoothness in locally convex spaces are introduced. Some necessary and sufficient conditions for average strong convexity (average strong smoothness) are obatained in locally convex spaces.In addition, we obatained the dual relations between average strong convexity and average strong smoothness are obatained. |
| Key words: locally convex spaces average strong convexity average strong smoothness |
