A NEW CHAIN OF INEQUALITIES INVOLVING THE TOADER-QI, LOGARITHMIC AND EXPONENTIAL MEANS

被引:1
作者
Yang, Zhen-Hang [1 ,2 ]
Tian, Jing-Feng [3 ]
机构
[1] North China Elect Power Univ, Engn Res Ctr Intelligent Comp Complex Energy Syst, Minist Educ, Baoding 071003, Hebei, Peoples R China
[2] Zhejiang Elect Power Co Res Inst, Dept Sci & Technol Informat, Hangzhou 310014, Zhejiang, Peoples R China
[3] North China Elect Power Univ, Dept Math & Phys, Baoding 071003, Hebei, Peoples R China
关键词
Toader-Qi Mean; Modified Bessel Function; Exponential Mean; Logarithmic Mean; Hyperbolic Function; SHARP INEQUALITIES; TERMS; MONOTONICITY; BOUNDS;
D O I
10.2298/AADM201227028Y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we establish an interesting chain of sharp inequalities involving Toader-Qi mean, exponential mean, logarithmic mean, arithmetic mean and geometric mean. This greatly improves some existing results.
引用
收藏
页码:467 / 485
页数:19
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