| 一类组合不等式的简证与推广 |
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| 引用本文： | 吴永锋. 一类组合不等式的简证与推广[J]. 数学的实践与认识, 2008, 38(19) |
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| 作者姓名： | 吴永锋 |
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| 基金项目： | 铜陵学院自然科研项目 ， 安徽高校省级自然科研项目 |
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| 摘 要： | 利用概率方法给出了形如sum from k=1 to n(1/k)>π/4(sum from k=1 to n((-1)k-1Cnk)1/(k～1/2))与sum from k=1 to n(1/k)<2～(1/2)(sum from k=1 to n((-1)k-1Cnk)1/k2)1/2的组合不等式.
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| 关 键 词： | 组合不等式 詹森不等式 密度函数 分布函数 |
The Simple Proof and Generalization for a Type of Combinatorial Inequality |
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| WU Yong-feng. The Simple Proof and Generalization for a Type of Combinatorial Inequality[J]. Mathematics in Practice and Theory, 2008, 38(19) |
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| Authors: | WU Yong-feng |
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| Abstract: | We apply the probability method and give the following combinatorial inequalities:sum from k=1 to n(1/k)>π/4(sum from k=1 to n((-1)k-1Cnk)1/(k～1/2)),sum from k=1 to n(1/k)<2～(1/2)(sum from k=1 to n((-1)k-1Cnk)1/k2)1/2 |
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| Keywords: | combinatorial inequality Jensen inequality density function distribution function |
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