Optimal bounds for the Neuman-Sandor mean in terms of the first Seiffert and quadratic means

被引：2
|
作者：
Gong, Wei-Ming [1 ]
Shen, Xu-Hui [2 ]
Chu, Yu-Ming [1 ]
机构：
[1] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China
[2] Huzhou Teachers Coll, Coll Nursing, Huzhou 313000, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年
关键词：
Neuman-Sandor mean; first Seiffert mean; quadratic mean; SHARP BOUNDS; INEQUALITIES;
D O I：
10.1186/1029-242X-2013-552
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we find the least value a and the greatest value beta such that the double inequality P-alpha(a, b)Q(1-alpha)(a, b) < M(a, b) < P-beta(a, b)Q(1-beta)(a, b) holds true for all a, b > 0 with a not equal b, where P(a, b), M(a, b) and Q(a, b) are the first Seiffert, Neuman-Sandor and quadratic means of a and b, respectively.
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页数：13
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