| 一类与凸函数有关的不等式的概率证法 |
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| 引用本文： | 侯茂文,陆晓恒. 一类与凸函数有关的不等式的概率证法[J]. 大学数学, 2007, 23(3): 167-169 |
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| 作者姓名： | 侯茂文 陆晓恒 |
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| 作者单位： | 铜陵学院,安徽,铜陵,244000;铜陵学院,安徽,铜陵,244000 |
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| 摘 要： | 通过构造随机变量的方法,并结合凸函数的性质,证明了数学分析中的一些著名不等式,证明方法简明、独特.
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| 关 键 词： | 凸函数 不等式 随机变量 概率证法 |
| 文章编号： | 1672-1454（2007）03-0167-03 |
| 修稿时间： | 2005-11-24 |
Probability Prove for a Class of Inequality Associated with Convex Functions |
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| HOU Mao-wen,LU Xiao-heng. Probability Prove for a Class of Inequality Associated with Convex Functions[J]. College Mathematics, 2007, 23(3): 167-169 |
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| Authors: | HOU Mao-wen LU Xiao-heng |
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| Affiliation: | Tongling College,Tongling Anhui 244000, China |
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| Abstract: | Some famous inequalities in mathematics analysis are proved through constructing the random variable in combination with the features of convex functions.The proof is brief and distinctive. |
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| Keywords: | convex functions inequality random variable probability method |
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