REFINEMENTS OF SOME INEQUALITIES RELATED TO JENSEN'S INEQUALITY

被引：2
|
作者：
Nakasuji, Yasuo [1 ]
机构：
[1] Open Univ Japan, Chiba 2618586, Japan
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2014年 / 8卷 / 04期
关键词：
Jensen's inequality; mean; geometric-arithmetic mean inequality; topological abelian semigroup operation;
D O I：
10.7153/jmi-08-51
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A finite form of Jensen's inequality for a continuous convex function from a topological abelian semigroup to another topological ordered abelian semigroup is given by the author and S.-E. Takahasi. As an application of this abstract Jensen's inequality, two inequalities with respect to geometric mean and arithmetic mean are obtained. The first gives a new refinement of the geometric-arithmetic mean inequality. The second gives a refinement between the arithmetic mean and a certain mean.
引用
收藏
页码：685 / 692
页数：8
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