Generalization of Hermite-Hadamard Inequalities Involving Hadamard Fractional Integrals

被引：8
|
作者：
Zhang, Zhi [1 ]
Wei, Wei [1 ]
Wang, JinRong [1 ,2 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Guizhou Normal Coll, Sch Math & Comp Sci, Guiyang 550018, Guizhou, Peoples R China
来源：
FILOMAT | 2015年 / 29卷 / 07期
关键词：
Generalization of Hermite-Hadamard inequalities; Hadamard fractional integrals; GA-convex function; GG-convex function; CONVEX FUNCTIONS; MAPPINGS; (ALPHA;
D O I：
10.2298/FIL1507515Z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we firstly give a general integral identity for once differentiable mapping involving Hadamard fractional integrals. Secondly, we use this integral identity to derive some new generalization of fractional Hermite-Hadamard inequalities through GA-convex functions via power means and integrals GG-convex functions via power means. Some applications to special means of real numbers are given.
引用
收藏
页码：1515 / 1524
页数：10
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