| 凸性与广义凸性综述（2） |
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| 引用本文： | 王见勇.凸性与广义凸性综述（2）[J].常熟理工学院学报,2008,22(2):41-46. |
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| 作者姓名： | 王见勇 |
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| 作者单位： | 常熟理工学院,数学系,江苏,常熟,215500 |
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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．
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| 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 |
| 文章编号： | 1008-2794(2008)02-0041-05 |
| 修稿时间： | 2007年3月17日 |
A Summary of Convexity and Generalized Convexities |
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| WANG Jian-yong.A Summary of Convexity and Generalized Convexities[J].Journal of Changshu Institute of Technology,2008,22(2):41-46. |
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| Authors: | WANG Jian-yong |
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| Institution: | WANG Jian-yong (Department of Mathematics, Changshu institute of Technology, Changshu 215500, China) |
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| Abstract: | 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. |
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| Keywords: | geometrical convexity logarithmical convexity exponential convexity ideal convexity integral convexity β-convextiy generalized convextiy |
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