| 概率方法在不等式证明中的应用 |
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| 引用本文： | 王琼. 概率方法在不等式证明中的应用[J]. 西藏大学学报, 2002, 17(2): 75-78 |
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| 作者姓名： | 王琼 |
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| 作者单位： | 西藏大学教务处 拉萨 |
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| 摘 要： | 不等式的证明方法是多种多样的,柯西-许瓦兹(Cauchy—Schwarz)不等式是数学领域中最重要的一个不等式之一,对于不同的空间对应着不同的形式。本文就利用概率空间中所对应的形式来证明数学中一类常用的不等式,用以显示概率论思想在解决某些数学问题时所具有的独特而简洁的功效。
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| 关 键 词： | Cauchy-Schwarz不等式 空间 随机变量 概率分布 |
| 文章编号： | 1005-5738(2002)02-0075-04 |
| 修稿时间： | 2001-12-08 |
The Use of Probability in Improving Inequality |
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| By Wang Qiong. The Use of Probability in Improving Inequality[J]. Journal of Tibet University, 2002, 17(2): 75-78 |
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| Authors: | By Wang Qiong |
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| Abstract: | There is various of ways to improve an inequality. Cauchy - Schwarz is one of the most important inequalities in the field of mathematics. To different space, it corresponds to different from. This article uses the from which is corresponding to probability space to improve one kind of common inequality, so as to demonstrate that the efficacy of Probability Theory possesses a succinct and unique characteristics in solving some mathematics problems. |
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| Keywords: | Cauchy - Schwarz Inequality space random variable probability scattering |
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