| 一类组合不等式的简证与推广 |
| |
| 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). |
| |
| 作者姓名： | 吴永锋 |
| |
| 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
|
| |
| 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.
|
| 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 |
| |
| WU Yong-feng.The Simple Proof and Generalization for a Type of Combinatorial Inequality[J].Mathematics in Practice and Theory,2008,38(19). |
| |
| Authors: | WU Yong-feng |
| |
| 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 |
| |
| Keywords: | combinatorial inequality Jensen inequality density function distribution function |
| 本文献已被 万方数据 等数据库收录！ |
