| 均值不等式的一个推广 |
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| 引用本文： | 王志华.均值不等式的一个推广[J].数学学习,2010,13(5):56-57. |
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| 作者姓名： | 王志华 |
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| 作者单位： | 南京师范大学泰州学院数学系,江苏泰州,225300 |
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| 摘 要： | 给出几何-算术均值不等式的一个推广,实例展示其应用,说明与约束极值原理相关的一些问题也可以通过推广的几何-算术均值不等式加以解决.
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| 关 键 词： | 均值不等式 几何平均值 算术平均值 |
A Generalization of the AM-GM Inequality |
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| WANG Zhi,Hua.A Generalization of the AM-GM Inequality[J].Studies In College Mathematics,2010,13(5):56-57. |
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| Authors: | WANG Zhi Hua |
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| Institution: | (Department of Mathematics,Nanjing Normal University Taizhou College,Taizhou,Jiangsu,225300,PRC) |
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| Abstract: | In this paper,the inequality of arithmetic and geometric means is generalized.Applications are shown by some examples associated with the constrained extremum principle which can be solved by the generalized AM-GM inequality. |
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| Keywords: | AM-GM inequality geometric mean arithmetic mean |
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