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.

引用

页数：7

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