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朱永娥. 凸函数的一个性质与Jensen不等式[J]. 信阳师范学院学报(自然科学版), 2007, 20(4): 399-400.
引用本文: 朱永娥. 凸函数的一个性质与Jensen不等式[J]. 信阳师范学院学报(自然科学版), 2007, 20(4): 399-400.
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ZHU Yong-e. A Property of Convex Functions and Jensen Inequality[J]. Journal of Xinyang Normal University (Natural Science Edition), 2007, 20(4): 399-400.
Citation: ZHU Yong-e. A Property of Convex Functions and Jensen Inequality[J]. Journal of Xinyang Normal University (Natural Science Edition), 2007, 20(4): 399-400.
shu

凸函数的一个性质与Jensen不等式

A Property of Convex Functions and Jensen Inequality

    摘要
  • 摘要: 证明了二次可微凸函数的一个性质,并给出了这个性质的一个应用.通过取ψ(t)为另外一些具体凸函数,可得一些新不等式.著名的加权算术——几何平均值不等式就是其特例.

     

    Abstract: A property of quadratic differential convex functions is proven and applications of it are given as well.Based on different selections of the function ψ(t),some new inequalities can be getten.The famous weight arithmetic-geometric average inequality is a special case of it.

     

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