对数平均的最佳单参数Gini平均上下界Optimal One-parameter Gini Mean Bounds for Logarithmic Mean
娄美琴;
摘要(Abstract)：
本文利用对数平均和单参数Gini平均的基本性质,得到了对数平均的最佳单参数Gini平均上下界.
关键词(KeyWords)： 不等式;对数平均;单参数Gini平均
基金项目(Foundation):
作者(Author): 娄美琴;
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参考文献(References)：
- [1]Sándor J,On the identric and logarithmic means[J].Aequations Math,1990,40(2-3):261-270.
- [2]Sándor J,A note on some inequalities for means[J].Arch Math(Basel),1991,56(5):471-473.
- [3]Sándor J,A note on the Gini mean[J].Gen Math,2004,12(4):17-21.
- [4]匡继昌.常用不等式[M].济南:山东科技技术出版社,2004.
- [5]Alzer H and Qiu S L,Inequalities for means in two variables[J].Arch Math,2003,80(2):201-215.
- [6]Chu Y M and Xia W F,Two optimal double inequalities between power meanand logarithmic mean[J].Comput Math Appl,2010,60(1):83-89.