SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR GA-CONVEX FUNCTIONS WITH APPLICATIONS TO MEANS

被引：60

作者：

Zhang, Tian-Yu ^{[1
]}

Ji, Ai-Ping ^{[1
]}

Qi, Feng ^{[2
]}

机构：

[1] Inner Mongolia Univ Nationalities, Coll Math, Tongliao City 028043, Inner Mongolia, Peoples R China

[2] Tianjin Polytech Univ, Coll Sci, Dept Math, Tianjin 300387, Peoples R China

来源：

MATEMATICHE | 2013年 / 68卷 / 01期

关键词：

Hermite-Hadamard's integral inequality; Convex function; GA-convex function; Holder's inequality; Mean;

D O I：

10.4418/2013.68.1.17

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, the authors, by Holder's integral inequality, establish some Hermite-Hadamard type integral inequalities for GA-convex functions and apply these inequalities to construct several inequalities for special means.

引用

页码：229 / 239

页数：11

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