关于平均值不等式的若干证明 |
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引用本文: | 李媛媛.关于平均值不等式的若干证明[J].科教文汇,2012(24):108-108,118. |
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作者姓名: | 李媛媛 |
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作者单位: | 宿州学院附属实验中学 安徽·宿州234000 |
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摘 要: | 本文总结了平均值不等式的三种证法,一是数学归纳法,第二是函数法,最后是特殊不等式法。总之,平均值不等式的证明方法很多。
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关 键 词: | 算术平均数 几何平均数 不等式 |
Several Proofs of Mean Value Inequality |
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Authors: | Li Yuanyuan |
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Institution: | Li Yuanyuan Affiliated Experimental Middle School of Suzhou University,234000,Suzhou,Anhui,China |
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Abstract: | This text has summarized three proofs of mean value inequality.The first is given by mathematical induction.The second one is given by function.The last one is given by peculiar inequality.In a word,there are many proofs of mean value inequality. |
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Keywords: | arithmetic mean geome mean inequality |
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