Optimal Bounds for the Neuman-Sandor Mean in terms of the Convex Combination of the First and Second Seiffert Means

被引：3
|
作者：
Cui, Hao-Chuan [1 ]
Wang, Nan [1 ]
Long, Bo-Yong [1 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷
关键词：
SHARP BOUNDS; INEQUALITIES;
D O I：
10.1155/2015/489490
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We find the least value.. and the greatest value beta such that the double inequality alpha P(a,b) + (1 - alpha)T(a,b) < M(a,b) < beta P(a,b) + (1 - beta)T(a,b) holds for all a,b > 0 with a not equal b, where M(a,b), P(a,b), and T(a,b) are the Neuman-Sandor mean and the first and second Seiffert means of two positive numbers a and b, respectively.
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页数：6
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