k-强凸空间的特征  

Characterizations of K-strongly Convex Spaces

作　　者：曾朝英[1] 

机构地区：[1]集宁师专数学系,内蒙古乌兰察布012000

出　　处：《集宁师专学报》2007年第4期16-19,共4页Journal of Jining Teachers College

摘　　要：文[4]证明了[2]和[3]给出的k-强凸空间定义是等价的,文献[5]证明了文[1]和[5]给出的k-强光滑定义是等价的.本文在此基础上证明了Xk-强凸,则X(k+1)强凸;Xk-强光滑,则X(k+1)强光滑;反之不然。The article [4] had proved the definition of the k-strongly convex space is equivalent in [2] and [3].Reference [5] proved the definition of the k-strongly Smooth is equivalent in [1] and [5].Based on this article,the author proved that the X is k-strongly convex,then X is(k +1)-strongly convex;X is k-strongly smooth,then X is(k +1)-strongly smooth;Instead otherwise.

关 键 词：k-强凸 K-强光滑 

分 类 号：O177.2[理学—数学]