Two sharp double inequalities for Seiffert mean

被引：27
|
作者：
Chu, Yu-Ming [1 ]
Wang, Miao-Kun [1 ]
Gong, Wei-Ming [2 ]
机构：
[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China
[2] Hunan City Univ, Dept Math, Yiyang 413000, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2011年
关键词：
Root-square mean; arithmetic mean; Seiffert mean; BOUNDS;
D O I：
10.1186/1029-242X-2011-44
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish two new inequalities between the root-square, arithmetic, and Seiffert means. The achieved results are inspired by the paper of Seiffert (Die Wurzel, 29, 221-222, 1995), and the methods from Chu et al. (J. Math. Inequal., 4, 581-586, 2010). The inequalities we obtained improve the existing corresponding results and, in some sense, are optimal.
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页数：7
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