| 概率方法证明级数不等式 |
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| 引用本文： | 关华春. 概率方法证明级数不等式[J]. 辽宁工学院学报, 1997, 17(2): 82-84 |
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| 作者姓名： | 关华春 |
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| 摘 要： | 计算服从级数分布的随机变量及其函数的原点矩，证明了三个级数不等式，进而讨论了各自的了些特殊情况，并说明一些级数不等式可用概率方法给出了证明。
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| 关 键 词： | 级数分布 概率方法 级数不等式 随机变量 |
Proving Series Inequality with Probabity Method |
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| Guan Huachun. Proving Series Inequality with Probabity Method[J]. Journal of Liaoning Institute of Technology(Natural Science Edition), 1997, 17(2): 82-84 |
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| Authors: | Guan Huachun |
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| Affiliation: | Guan Huachun |
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| Abstract: | The original point moment of the function and the random variables subordinated to series distribution is calculated, and three series inequalities are proved. Furthermore, the paper discusses the respective special conditions about the inequalities and explains clearly that some of the series inequalities can be proved with the probability method. |
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| Keywords: | series distribution original point moment probability method |
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