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| 凸函数的2种定义及其等价性初探 | |
| 引用本文： | 谢艳,苏敏. 凸函数的2种定义及其等价性初探[J]. 云南民族大学学报(自然科学版), 2007, 16(4): 364-367 |
| 作者姓名： | 谢艳 苏敏 |
| 作者单位： | 1. 云南广播电视大学,云南昆明,650223 2. 云南师范大学,云南昆明,650092 |
| 摘 要： | 讨论一元凸函数2种定义的等价性,得到在半连续函数类中2种定义等价的结论. |
| 关 键 词： | 凸函数 上半连续函数 下半连续函数 等价性 |
| 文章编号： | 1672-8513（2007）04-0364-04 |
| 收稿时间： | 2007-06-18 |
| 修稿时间： | 2007-06-18 |
Research on the Two Definitions of Convex Function and Their Equivalent Relation |
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| Xie Yan,Su Min. Research on the Two Definitions of Convex Function and Their Equivalent Relation[J]. Journal of Yunnan Nationalities University:Natural Sciences Edition, 2007, 16(4): 364-367 | |
| Authors: | Xie Yan Su Min |
| Affiliation: | 1. Yunnan Radio and TV University,Kunming 650223 ,China;2. Yunnan Normal University, Kunming 650092, China |
| Abstract: | In this paper,we discuss the equivalent relation of the two definitions of convex function and obtain the conclusion that two definitions are equivalent in the class of semi-continuous function. |
| Keywords: | convex function upper semi-continuous function lower semi-continuous function equivalent relation. |
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