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关于A-G的几个不等式
引用本文:周美秀,张小明. 关于A-G的几个不等式[J]. 杭州师范大学学报(自然科学版), 2012, 0(5): 426-432
作者姓名:周美秀  张小明
作者单位:浙江广播电视大学开放与远程教育研究院;浙江海宁电大
摘    要:为加强或加细几个著名的算术-几何不等式,研究用方差来估算两者的差,并利用一个统一的证明模式,加强或推广这些结果.

关 键 词:算术平均  几何平均  最值压缩定理  不等式

Several Inequalities about A-G
ZHOU Mei-xiu,ZHANG Xiao-ming. Several Inequalities about A-G[J]. , 2012, 0(5): 426-432
Authors:ZHOU Mei-xiu  ZHANG Xiao-ming
Affiliation:1.Open and Distance Education Research Institute,Zhejiang Radio&Television University,Hangzhou 310030,China; 2.Zhejiang Radio & Television University Haining College,Haining 314400,China)
Abstract:To strengthen and refine some famous arithmetic-geometric inequalityies,this paper used variance to estimate the difference between the two,strengthen or popularize these results with a unified proof mode.
Keywords:arithmetic mean  geometric mean  compressed independent variables theorem  inequality
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