| 某些平均值不等式的注记 |
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| 引用本文： | 林永伟,王爱芹,杨士俊.某些平均值不等式的注记[J].杭州师范学院学报(自然科学版),2003,2(1):26-29. |
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| 作者姓名： | 林永伟 王爱芹 杨士俊 |
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| 作者单位： | 杭州师范学院,数学系,浙江,杭州,310012 |
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| 摘 要： | 研究幂平均及对数平均之间的一些关系 ,获得了一些有趣的结果 .同时指出了现有文献中的一些疏忽 .
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| 关 键 词： | 幂平均 对数平均 Stolarsky平均 Chebyshev不等式 Hadamard不等式 |
| 文章编号： | 1008-9403(2003)01-0026-04 |
| 修稿时间： | 2002年11月1日 |
Remarks on some inequalities concerning means |
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| LIN Yong-wei,WANG Ai-qin,YANG Shi-jun.Remarks on some inequalities concerning means[J].Journal of Hangzhou Teachers College(Natural Science),2003,2(1):26-29. |
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| Authors: | LIN Yong-wei WANG Ai-qin YANG Shi-jun |
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| Abstract: | The power mean and the logarithmic mean attract considerable interest due to their wide applications. There are a lot of existing literatures concerning their properties and relations between them. In this paper, we study some relations of them and obtain some interesting results. Meanwhile, we point out some facts neglected by the existing literatures. |
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| Keywords: | the power mean the logarithmic mean the Stolarsky mean Chebyshev inequality Hadamard inequality |
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