THE OPTIMAL GENERALIZED LOGARITHMIC MEAN BOUNDS FOR SEIFFERT’S MEAN

被引：0
|
作者：
褚玉明
王淼坤
王根娣
机构：
[1] Department of Mathematics, Hunan City University,Yiyang 413000, China
[2] College of Mathematics and Econometrics, Hunan University,Changsha 410082, China
[3] Department of Mathematics, Huzhou Teachers College,Huzhou 313000, China
来源：
Acta Mathematica Scientia | 2012年 / 04期
基金：
中国国家自然科学基金;
关键词：
generalized logarithmic mean; Seiffert’s mean; power mean;
D O I：
暂无
中图分类号：
O156 [数论];
学科分类号：
0701 ; 070101 ;
摘要：
For p ∈ R, the generalized logarithmic mean L p (a, b) and Seiffert’s mean T (a, b) of two positive real numbers a and b are defined in (1.1) and (1.2) below respectively. In this paper, we find the greatest p and least q such that the double-inequality L p (a, b) < T (a, b) < L q (a, b) holds for all a, b > 0 and a ≠b.
引用
收藏
页码：1619 / 1626
页数：8
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