| 一个平均不等式的反向及其类似 |
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| 引用本文： | 郭忠.一个平均不等式的反向及其类似[J].湖南理工学院学报,2012(2):11-13,16. |
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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 |
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| 摘 要： | 在最近的几百年中,关于多个正数的算术平均和几何平均的差的估计,是平均不等式研究中的一个持续热点.本文利用最值压缩定理,给出了算术平均和几何平均的差的两个新的估计,部分地回答了J.M.Aldaz一个公开问题.
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| 关 键 词： | 算术平均 几何平均 不等式 最值压缩定理 |
Reversion and Analogy of a Mean Inequality |
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| GUO Zhong.Reversion and Analogy of a Mean Inequality[J].Journal of Hunan Institute of Science and Technology,2012(2):11-13,16. |
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| Authors: | GUO Zhong |
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| Institution: | GUO Zhong(College of Haiyan,Zhejiang Radio & TV University,Zhejiang 314300,China) |
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| Abstract: | In mean inequalities research,the estimation involving the difference between arithmetic mean and geometric mean in variables is continuous for hundreds of years.By means of compressed independent variables theorem,this paper gives the new upper bound of the difference between arithmetic mean and geometric mean,and partly solves an open problem put forward by J.M.Aldaz. |
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| Keywords: | arithmetic mean geometric mean inequality compressed independent variables theorem |
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