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凸性与广义凸性综述(2) 被引量:1

A Summary of Convexity and Generalized Convexities
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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.
作者 王见勇
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
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 geometrical convexity logarithmical convexity exponential convexity ideal convexity integral convexity β-convextiy generalized convextiy
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参考文献25

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二级参考文献27

  • 1王见勇.复局部β-凸空间l~β与L~β[0,1]的共轭锥的次表示定理[J].数学学报(中文版),2005,48(6):1155-1166. 被引量:2
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  • 3王见勇.β-凸泛函的局部有界性与在θ点的连续性[J].宁夏教育学院学报,1995,(6):11-13.
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  • 10CHEN Xiu-su.Some properties of semi-E-convex function[J].Math Anal Appl,2002,275;251-262.

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