凸性与广义凸性综述(2)  

A Summary of Convexity and Generalized Convexities

作　　者：王见勇[1] 

机构地区：[1]常熟理工学院数学系,江苏常熟215500

出　　处：《常熟理工学院学报》2008年第2期41-45,67,共6页Journal of Changshu Institute of Technology

摘　　要：本文是凸性与广义凸性综述(1)(见常熟理工学院学报2007年第10期)的第二部分,介绍笔者近年关注较多的β-凸性;最后罗列了散见于文献的其它几种广义凸性.In this paper we give a summary of the convexities of sets and functions to evoke people＇s researching interest generalized convexity. The ordinary convexity, geometrical convexity, logarithmical convexity and the exponential convexity are mentioned in the first two sections. The ideal convexity, integral convexity and the β-convextiy are presented in the central three sections and the more generalized convexties are briefly introduced in the last section.

关 键 词：几何凸性 对数凸性 指数凸性 理想凸性 积分凸性 β-凸性 广义凸性 

分 类 号：O177.3[理学—数学]