%0 Journal Article
%T Approximation of Convex Functions on the Dual Spaces<br>对偶空间上凸函数的逼近
%A RUAN Ying-Ban
%A CHEN Shao-Xiong
%A <br>阮颖彬
%A 陈绍雄
%J 数学物理学报(A辑)
%D 2004
%I 
%X In this paper, the authors prove that for every \$w\+*\$ lower semicontinuous Lipschitzian convex function on the dual of a bistrictly convexifiable Banach space can be uniformly approximated by a sequence of \$w\+*\$ lower semicontinuous monotone nondecreasing Lipschitzian convex function with the dense very smooth point set.
%K Convex function
%K Very smooth point
%K Gteaux differentiability
%K Approximation<br>凸函数
%K 很光滑点
%K Gateaux可微
%K 逼近
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=0FFC6805ABC3B39D&yid=D0E58B75BFD8E51C&vid=B91E8C6D6FE990DB&iid=CA4FD0336C81A37A&sid=8477411EEDB08A86&eid=B62E0EEFE746E568&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=2&reference_num=8