一个平均值不等式 |
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引用本文: | 王姗姗.一个平均值不等式[J].湖州师专学报,2010(1):33-36. |
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作者姓名: | 王姗姗 |
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作者单位: | 杭州师范大学理学院,浙江杭州310018 |
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摘 要: | 利用指数平均与对数平均的基本性质,证明了指数平均与对数平均的几何平均与Seiffert平均的大小关系,得到的结果改进了一些已知的不等式.
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关 键 词: | Seiffert平均 指数平均 对数平均 |
An Inequality for Means |
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Authors: | WANG Shan-shan |
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Institution: | WANG Shan-shan (School of Science,Hangzhou Normal University,Hangzhou 310018,China) |
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Abstract: | This paper shows the quantitative relationship between the geometric average of identric mean and logarithmic mean and the Seiffert's mean by means of the basic properties of identric mean and logarithmic mean.This result improves some well-know inequalities. |
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Keywords: | Seiffert's mean identric mean logarithmic mean |
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