Optimal Bounds for Neuman-Sandor Mean in Terms of the Convex Combinations of Harmonic, Geometric, Quadratic, and Contraharmonic Means

被引:77
|
作者
Zhao, Tie-Hong [1 ]
Chu, Yu-Ming [2 ]
Liu, Bao-Yu [3 ]
机构
[1] Hangzhou Normal Univ, Dept Math, Hangzhou 313036, Zhejiang, Peoples R China
[2] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China
[3] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Peoples R China
关键词
INEQUALITIES;
D O I
10.1155/2012/302635
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present the best possible lower and upper bounds for the Neuman-Sandor mean in terms of the convex combinations of either the harmonic and quadratic means or the geometric and quadratic means or the harmonic and contraharmonic means.
引用
收藏
页数:9
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