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凸函数的一些新性质 被引量:1

Some Properties of Convex Functions
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摘要 从凸函数的定义出发,根据凸函数的已有性质,运用数学归纳法证明得出关于凸函数的三条新性质. Convex function is a classical subject and has its practical value . This article discusses some interesting properties of convex functions using the definition and some existing results .
作者 吴燕 李武
出处 《高等数学研究》 2014年第4期16-18,22,共4页 Studies in College Mathematics
关键词 凸函数 詹森不等式 数学归纳法 convex function,Jensen inequality,mathematical induction
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  • 1Marshall A W, Olkin I, Arnold B C. Inequalities: theory of majorization and its application (Second Edition ) [M]. New York: Springer Press, 2011.

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