| 运用概率方法证明某些数学不等式 |
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| 引用本文： | 翁耀明.运用概率方法证明某些数学不等式[J].数学的实践与认识,2005,35(11):213-217. |
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| 作者姓名： | 翁耀明 |
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| 作者单位： | 上海金融学院保险系,上海,200093 |
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| 摘 要： | 在数学上一些常见的不等式的证明,若运用代数方法较难得到解决.运用概率方法较方便地证明了某些数学不等式,同时,沟通了不同学科之间的联系.
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| 关 键 词： | 随机变量 数学期望 上凹函数 概率方法 数学不等式 |
| 修稿时间： | 2005年1月16日 |
Prove Some Unequal Formulae by Applying the Method of the Theory of Probability Theory |
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| WENG Yao-ming.Prove Some Unequal Formulae by Applying the Method of the Theory of Probability Theory[J].Mathematics in Practice and Theory,2005,35(11):213-217. |
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| Authors: | WENG Yao-ming |
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| Abstract: | It will be difficult to prove some general unequal formulae by applying algebra method.In this paper,some mathematical unequal formulae will be proved easily by applying the method of probability theory,and different subjects are also connected each other. |
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| Keywords: | random variable mathematics expentancy upper convex function probability methob mathematical inequalities |
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