Optimal bounds for Neuman-Sandor mean in terms of the geometric convex combination of two Seiffert means

被引：5
|
作者：
Huang, Hua-Ying [1 ]
Wang, Nan [1 ]
Long, Bo-Yong [1 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年
基金：
美国国家科学基金会;
关键词：
Neuman-Sandor mean; the first Seiffert mean; the second Seiffert mean; INEQUALITIES;
D O I：
10.1186/s13660-015-0955-2
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,8 such that the double inequality P-alpha (a, b)T1-alpha (a, b) < M(a, b) < P-beta (a, b)T1-beta (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, the first and second Seiffert means of two positive numbers a and b, respectively.
引用
收藏
页码：1 / 11
页数：11
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