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算术-几何平均值与几何-调和平均值的注记
引用本文:刘证. 算术-几何平均值与几何-调和平均值的注记[J]. 鞍山科技大学学报, 2007, 30(3): 230-235
作者姓名:刘证
作者单位:辽宁科技大学理学院,辽宁鞍山114051
摘    要:
给出算术-几何平均值与几何-调和平均值之间的一些基本关系式和有关的不等式,并且把它们与常见的几类复合平均值做了比较。

关 键 词:算术-几何平均值 几何-调和平均值 复合平均值
文章编号:1672-4410(2007)03-0230-06
收稿时间:2007-04-25
修稿时间:2007-04-25

Remarks on arithmetic-geometric mean and geometric-harmonic mean
LIU Zheng. Remarks on arithmetic-geometric mean and geometric-harmonic mean[J]. Journal of Anshan University of Science and Technology, 2007, 30(3): 230-235
Authors:LIU Zheng
Affiliation:School of Science,University of Science and Technology Liaoning,Anshan 114051 ,China
Abstract:
Some basic relations between arithmetic-geometric mean and geometric-harmonic mean and related inequalities were given. Moreover, these two means were compared with some classes of well known compound means.
Keywords:arithmetic-geometric mean   geometric-harmonic mean   compound mean
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