内积空间强凹与强中凹函数的刻画  

Characterizations of Inner Product Spaces by Strongly Concave and Strongly Midconcave Functions

作　　者：张晓燕[1] 

机构地区：[1]黄石理工学院数理学院,湖北黄石435003

出　　处：《黄石理工学院学报》2011年第2期44-45,66,共3页Journal of Huangshi Institute of Technology

基　　金：湖北省教育厅科学研究重点项目(项目编号:B20114410)

摘　　要：引入了X中强凹函数的定义,研究了强凹函数与凹函数之间的关系,利用这种关系给出了具有强凹与强中凹函数的赋范空间为内积空间的刻划.Abstract：In this paper , the strongly concave function is defined. The relationships between strongly convex and convex functions are studied, by which characterizations is given in which a normed space with the strongly convex and strongly midconcave function are inner spaces.

关 键 词：内积空间 强凹函数 强中凹函数 

分 类 号：O174.13[理学—数学]