LOG-CONVEXITY AND CAUCHY MEANS RELATED TO BERWALD'S INEQUALITY

被引：0
|
作者：
Latif, Naveed [1 ]
Pecaric, Josip [1 ,2 ]
Peric, Ivan [3 ]
机构：
[1] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore, Pakistan
[2] Univ Zagreb, Fac Text Technol, Zagreb 41000, Croatia
[3] Univ Zagreb, Fac Food Technol & Biotechnol, Zagreb 41000, Croatia
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2012年 / 6卷 / 01期
关键词：
Berwald's inequality; weighted Berwald's inequality; log-convexity; Cauchy means;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the famous Berwald's inequality. More precisely, we study the Berwald's difference in non-weighted and weighted case. We prove an interesting property of log-convexity of this difference which allows us to deduce Lyapunov's type inequality for these differences. Cauchy type means in this setting are also studied.
引用
收藏
页码：43 / 56
页数：14
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