| 某些不等式的概率方法证明 |
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| 引用本文： | 翁耀明,毛家俊.某些不等式的概率方法证明[J].上海电力学院学报,2003,19(1):57-59. |
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| 作者姓名： | 翁耀明 毛家俊 |
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| 作者单位： | 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 |
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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，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。
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| 关 键 词： | 不等式 概率方法 证明 随机变量 数学期望 上凹函数 数学不等式 初等数学 |
| 文章编号： | 1006-4729(2003)01-0057-03 |
| 收稿时间： | 9/2/2002 12:00:00 AM |
| 修稿时间： | 2002年6月19日 |
Proving Some Inequalitits by Means of Probabilities |
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| WENG Yao-ming and MAO Jia-jun.Proving Some Inequalitits by Means of Probabilities[J].Journal of Shanghai University of Electric Power,2003,19(1):57-59. |
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| Authors: | WENG Yao-ming and MAO Jia-jun |
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| Affiliation: | Department of Foreign Languages, Shanghai University of Electric Power, Shanghai 200090, China and Department of Foreign Languages, Shanghai University of Electric Power, Shanghai 200090, China |
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| 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. |
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| Keywords: | random variables mathematics expectation upper convex function probability method mathematical inequalities |
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