| 有关平均差距的三个不等式 |
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| 引用本文： | 郭忠.有关平均差距的三个不等式[J].湖州师范学院学报,2014(8):13-18. |
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| 作者姓名： | 郭忠 |
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| 作者单位： | 浙江广播电视大学海盐学院,浙江海盐314300 |
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| 摘 要： | 利用方差来估计它们的差距成为一个研究热点.利用最值压缩定理给出了n元算术平均、几何平均和调和平均的差的三个新的上下界估计.
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| 关 键 词： | 算术平均 几何平均 不等式 最值压缩定理 |
Three Inequalities Involving the Difference Between Means |
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| GUO Zhong.Three Inequalities Involving the Difference Between Means[J].Journal of Huzhou Teachers College,2014(8):13-18. |
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| Authors: | GUO Zhong |
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| Institution: | GUO Zhong (Haiyan College, Zhejiang Radio TV University, Haiyan 314300,China) |
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| Abstract: | Recently,using variance to estimate their difference has become a hot point topic.By means of compressed independent variables theorem,this paper gives three new upper and lower bounds of the difference involving arithmetic mean,geometric mean and harmonic mean of n positive real numbers. |
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| Keywords: | arithmetic mean geometric mean harmonic mean compressed independent variables theorem |
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