| 数学分析中一些著名不等式和极限式的概率证法 |
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| 引用本文： | 钱小燕,刘浩.数学分析中一些著名不等式和极限式的概率证法[J].山东轻工业学院学报,2001,15(1):74-80. |
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| 作者姓名： | 钱小燕 刘浩 |
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| 作者单位： | [1]江苏南通师范学校数学系，江苏南通226006 [2]南京航空航天大学理学院，江苏南京210016 |
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| 摘 要： | 证明不等式和极限式的方法繁多，本文通过举例说明构造r.v证明一类不等式和极限式的概率方法，这样把高等数学不同学科的有关知识以及高等数学和初等数学联系起来，从而拓宽了解题思路。
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| 关 键 词： | 不等式 随机变量 凸函数 概率证法 极限式 数学分析 |
| 文章编号： | 1004-4280(2001)01-0074-07 |
| 修稿时间： | 2000年9月26日 |
The probability proof of several famous inequalities and limit equations in mathematical analysis |
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| QIAN Xiao-yan ,LIU Hao.The probability proof of several famous inequalities and limit equations in mathematical analysis[J].Journal of Shandong Institute of Light Industry(Natural Science Edition),2001,15(1):74-80. |
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| Authors: | QIAN Xiao-yan LIU Hao |
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| Affiliation: | QIAN Xiao-yan 1,LIU Hao 2 |
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| Abstract: | There are many different ways to prove inequalities and limit equations.This paper provides the proof of one sort of inequalities and limit equations by the way of constructing random variables,thus relevant knowledge in different regions of higher mathematics and relevant knowledge in higher mathematics and elementary mathematics are connected and the ways of solving the problems of this sort are enriched. |
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| Keywords: | inequalities random variable convex function the p roof with probability theory |
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