Seiffert平均的一个下界估计 |
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引用本文: | 宗诚.Seiffert平均的一个下界估计[J].湖州师专学报,2010(1):15-18. |
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作者姓名: | 宗诚 |
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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: | 利用指数平均和几何平均的基本性质,证明了指数平均和几何平均的算术平均是Seiffert平均的一个下界,所得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 几何平均 |
A Lower Bound Estimation of the Seiffert's Mean |
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Authors: | ZONG Cheng |
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Institution: | ZONG Cheng(School of Science,Hangzhou Normal University,Hangzhou 310018,China) |
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Abstract: | By making use of the basic properties of identric mean and geometric mean,the author shows that the arithmetic average of identric mean and geometric mean is a lower bound estimation of the Seiffert's mean,and the results obtained improve some well-known inequalities. |
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Keywords: | Seiffert's mean identric mean geometric mean |
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