Note on certain inequalities for Neuman means

被引:5
|
作者
Chen, Shu-Bo [1 ]
He, Zai-Yin [2 ]
Chu, Yu-Ming [1 ]
Song, Ying-Qing [1 ]
Tao, Xiao-Jing [3 ]
机构
[1] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China
[2] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China
[3] Hunan Univ, Sch Math & Econometr, Changsha 410082, Hunan, Peoples R China
关键词
Schwab-Borchardt mean; Neuman mean; harmonic mean; arithmetic mean; contraharmonic mean;
D O I
10.1186/1029-242X-2014-370
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we give the explicit formulas for the Neuman means N-AH, N-HA, N-AC, and N-CA, and present the best possible upper and lower bounds for these means in terms of the combinations of harmonic mean H, arithmetic mean A, and contraharmonic mean C.
引用
收藏
页数:10
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