摘要
将有关Banach空间中范数凸性的结果推广到一般的凸函数中去,给出了局部一致凸函数,紧局部一致凸函数,强U-点等概念,并详细讨论了各种凸函数之间的关系及点态性质.
This paper generalizes the conclusion of general convex function from the convexity of norm. The concepts such as locally uniformly convex function, compactly locally uniformly convex function and strong U-point are given. And discusses the relations among kinds of convex function and pointwise properties deeply.
出处
《哈尔滨商业大学学报（自然科学版）》
CAS
2007年第3期367-369,共3页
Journal of Harbin University of Commerce：Natural Sciences Edition
基金
国家自然科学基金项目(10571037)
关键词
凸函数
一致凸函数
局部一致凸函数
一致凸点
convex function
uniformly convex function
locally uniformly
convex function
uniformly convex point
