Sharp power mean bounds for Seiffert mean

被引：14
|
作者：
Li Yong-min [1 ]
Wang Miao-kun [1 ]
Chu Yu-ming [1 ]
机构：
[1] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China
来源：
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2014年 / 29卷 / 01期
基金：
中国国家自然科学基金;
关键词：
power mean; Seiffert mean; inequality; CONVEX COMBINATION BOUNDS; INEQUALITIES; TERMS;
D O I：
10.1007/s11766-014-3008-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we find the greatest value p = log2/(log pi - log 2) = 1.53 aEuro broken vertical bar and the least value q = 5/3 = 1.66 aEuro broken vertical bar such that the double inequality M (p) (a, b) < T(a, b) < M (q) (a, b) holds for all a, b > 0 with a not equal b. Here, M (p) (a, b) and T (a, b) are the p-th power and Seiffert means of two positive numbers a and b, respectively.
引用
收藏
页码：101 / 107
页数：7
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