某些不等式的概率方法证明

翁耀明; 毛家俊

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上海电力大学学报:2003,19(1):57-59

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某些不等式的概率方法证明

翁耀明¹, 毛家俊²

(1.上海医疗器械高等专科学校, 上海 200093;2.上海电力学院信息与计算科学系, 上海 200090)

Proving Some Inequalitits by Means of Probabilities

WENG Yao-ming¹, MAO Jia-jun²

(1.Journal of Shanghai Medical Instrumentation College, Shanghai 200093, China;2.Department of Information and Computing Science, Shanghai University of Electric Power, Shanghai 200090, China)

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投稿时间：2002-06-19

中文摘要: 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, 而运用概率方法就较方便地得到证明, 这种证明方法沟通了不同学科之间的联系

中文关键词: 随机变量数学期望上凹函数概率方法数学不等式

Abstract:It is more difficult to prove some general inequalities by applying algebra methods.In this paper some mathematical inequalities are proved easily by applying the method of probability theory and certain associations are built up among different subjects

keywords: random variables mathematics expectation upper convex function probability method mathematical inequalities

文章编号：20030112 中图分类号： 文献标志码：

基金项目:

作者	单位
翁耀明	上海医疗器械高等专科学校, 上海 200093
毛家俊	上海电力学院信息与计算科学系, 上海 200090

Author Name	Affiliation
WENG Yao-ming	Journal of Shanghai Medical Instrumentation College, Shanghai 200093, China
MAO Jia-jun	Department of Information and Computing Science, Shanghai University of Electric Power, Shanghai 200090, China

引用文本：
翁耀明,毛家俊.某些不等式的概率方法证明[J].上海电力大学学报,2003,19(1):57-59.
WENG Yao-ming,MAO Jia-jun.Proving Some Inequalitits by Means of Probabilities[J].Journal of Shanghai University of Electric Power,2003,19(1):57-59.