TITLE:
An Optimal Double Inequality among the One-Parameter, Arithmetic and Geometric Means
AUTHORS:
Hongya Gao, Shuangli Li, Yanjie Zhang, Hong Tian
KEYWORDS:
Optimal Double Inequality; One-Parameter Mean; Arithmetic Mean; Geometric Mean
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.1 No.7,
December
12,
2013
ABSTRACT:
In the present paper, we answer the question: for 0a what are the greatest value p(a)
and the least value q(a) such that the double inequality Jp(a,b)aA(a,b)+ (1-a)G(a,b)Jq(a,b)
holds for all a,b>0 with a is not equal tob ?