| 关于非负随机变量的两个矩不等式 |
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| 引用本文： | 刘建忠.关于非负随机变量的两个矩不等式[J].安徽大学学报(自然科学版),2009,33(5). |
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| 作者姓名： | 刘建忠 |
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| 作者单位： | 江苏技术师范学院,数理学院,江苏,常州,213001 |
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| 基金项目： | 江苏省高校自然科学研究指导性计划项目 |
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| 摘 要： | 利用一个初等函数的单调性及一个改进的Young不等式,通过引进一个参数的方法,得到了关于非负随机变量的两个矩不等式,所得结果推广了一些经典的矩不等式.作为应用,给出了著名的Hlder不等式和Minkowski不等式的一种新的反向形式.
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| 关 键 词： | 随机变量 Hlder不等式 Minkowski不等式 |
Two moment inequalities of nonnegative random variables |
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| LIU Jian-zhong.Two moment inequalities of nonnegative random variables[J].Journal of Anhui University(Natural Sciences),2009,33(5). |
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| Authors: | LIU Jian-zhong |
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| Institution: | LIU Jian-zhong(School of Mathematics , Physics,Jiangsu Teachers University of Technology,Changzhou 213001,China) |
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| Abstract: | By using monotonicity of a elementary function and the improved Young inequality and introducing a parameter, we obtained two inequalities of nonnegative random variables.Those inequalities were the further generalization of some classical moment inequalities. As an application of the obtained results, we gave a new the reverse form of Hlder inequality and Minkowski inequality. |
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| Keywords: | random variables H(o)lder inequality Minkowski inequality |
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