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Banach空间上连续凸函数的微分性质
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].广西师范学院学报(自然科学版),2008,25(4).
作者姓名:林尤武  唐献秀  伍一平  杨祥钊
作者单位:广西师范学院,数学与计算机科学系,广西,南宁,530001
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.

关 键 词:Banach空间  凸函数  Gateaux可微  Frechet可微

Differentiability of Continuous Conver Functions on Banach Spaces
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 Education University:Natural Science Edition,2008,25(4).
Authors:LIN You-wu  TANG Xian-xiu  WU Yi-ping  YANG Xiang-zhao
Abstract:In this paper,we give a necessary and sufficient condition for continuous conver functions to be Gateaux differentiability and Frechet differentiability.
Keywords:Banach space  conver function  Gateaux differentiability  Frechet differentiability
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