ON SCHUR m-POWER CONVEXITY FOR RATIOS OF SOME MEANS

被引:17
|
作者
Yin, Hong-Ping [1 ]
Shi, Huan-Nan [2 ]
Qi, Feng [3 ]
机构
[1] Inner Mongolia Univ Nationalities, Coll Math, Tongliao City 028043, Inner Mongolia, Peoples R China
[2] Beijing Union Univ, Teachers Coll, Dept Elect Informat, Beijing 100011, Peoples R China
[3] Tianjin Polytech Univ, Sch Sci, Dept Math, Tianjin 300387, Peoples R China
来源
JOURNAL OF MATHEMATICAL INEQUALITIES | 2015年 / 9卷 / 01期
关键词
Schur m-power convexity; quotient; mean; arithmetic mean; geometric mean; harmonic mean; INEQUALITIES;
D O I
10.7153/jmi-09-14
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the paper, the authors discuss the Schur m-power convexity on (0, infinity) x (0, infinity) for ratios of some famous means, such as the arithmetic, geometric, harmonic, root-square means, and the like, and obtain some inequalities related to ratios of means.
引用
收藏
页码:145 / 153
页数:9
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