| 算术—几何—调和平均不等式及其一个逆不等式的推广 |
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| 引用本文： | 吴丽萍.算术—几何—调和平均不等式及其一个逆不等式的推广[J].闽江学院学报,1998(1). |
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| 作者姓名： | 吴丽萍 |
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| 摘 要： | 1989年《湖南教学通讯》第5期给出了算术—几何—调和平均不等式的逆不等式（见文3]）,本文把这一道不等式作一推广得到定理1,同时给出几何一调和平均不等式的一种推广形式即定理人及其在求极值方面的应用。
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| 关 键 词： | 算术—几何—调和平均不等式 逆不等式 极值 |
A Deduction of Arithmetic - Geomertric - Harmonic Mean Inequality and its Converse Inequality |
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| Wu Liping.A Deduction of Arithmetic - Geomertric - Harmonic Mean Inequality and its Converse Inequality[J].Journal of Minjiang University,1998(1). |
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| Authors: | Wu Liping |
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| Abstract: | A Converse inequality of arithmetic - geomertric - harmonic mean inequality is proposed in the Journal" Hunan Arithmetic Communication" in 1989. This paper deduces a theorem, i. e. Theoreml, from this converse inequality. Moreover, this paper proposes a deduction of geomertric - harmonic mean inequality and its application in extreme value. |
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| Keywords: | arithmetic - Geometric - Harmonic mean inequality converse inequality exlreme value |
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