凸函数的性质与判断 |
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引用本文: | 蒋善利,普丰山. 凸函数的性质与判断[J]. 新乡学院学报(自然科学版), 2009, 26(6): 13-14 |
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作者姓名: | 蒋善利 普丰山 |
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作者单位: | 蒋善利(漯河医学高等专科学校,基础部,河南,漯河,462002);普丰山(漯河职业技术学院,基础部,河南,漯河,462002) |
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摘 要: | 给出了简单单变量凸函数的定义,描述了凸函数的性质及在R^n中的推广,最后给出凸函数的判断方法。
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关 键 词: | 凸函数 充要条件 凸集 |
Properties and Judgment about Convex Function |
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Affiliation: | JIANG Shan-li, PU Feng-shan (1. Department of Basic Course, Luohe Medical College, Luohe 462002, China; 2. Department of Basic Course, Luohe Vocational Technology College, Luohe,462002, China,) |
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Abstract: | In this paper, the definition of convex function with single-variable is given. Properties of the convex function and its promotion in R^n are described. At last, judgment methods of the convex function are introduced. |
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Keywords: | convex function necessary and sufficient condition convex set |
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