| Banach空间上连续凸函数的微分性质 |
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| 引用本文： | 林尤武,唐献秀,伍一平,杨祥钊.Banach空间上连续凸函数的微分性质[J].广西师院学报,2008(4):22-27. |
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| 作者姓名： | 林尤武 唐献秀 伍一平 杨祥钊 |
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| 作者单位： | 广西师范学院数学与计算机科学系,广西南宁530001 |
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| 基金项目： | 广西自然科学基金项目[桂科自0728050] |
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| 摘 要： | 给出了Banach空间中连续凸函数在一点Gateaux可微与Frechet可微的一个充要条件．
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| 关 键 词： | BANACH空间 凸函数 Gateaux可微 Frechet可微 |
Differentiability of Continuous Conver Functions on Banach Spaces |
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| LIN You-wu,TANG Xian-xiu,WU Yi-ping,YANG Xiang-zhao.Differentiability of Continuous Conver Functions on Banach Spaces[J].Journal of Guangxi Teachers College(Natural Science Edition),2008(4):22-27. |
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| Authors: | LIN You-wu TANG Xian-xiu WU Yi-ping YANG Xiang-zhao |
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| Institution: | (Department of Mathematics, Guangxi Teachers Education University, Nanning Guangxi 530001, China) |
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| Abstract: | In this paper, we give a necessary and sufficient condition for continuous conver functions to be Gateaux differentiability and Frechet differentiability. |
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| Keywords: | Banach space conver function Gateaux differentiability Frechet differentiability |
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