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.
出处
《集宁师专学报》
2007年第4期16-19,共4页
Journal of Jining Teachers College
关键词
k-强凸
K-强光滑
k-strongly convex
k-strongly Smooth
