SOME FRACTIONAL HERMITE-HADAMARD INEQUALITIES FOR CONVEX AND GODUNOVA-LEVIN FUNCTIONS

被引：0
|
作者：
Li, Mengmeng [1 ]
Wang, JinRong [1 ]
Wei, Wei [1 ]
机构：
[1] Coll Sci, Dept Math, Guiyang 550025, Guizhou, Peoples R China
来源：
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2015年 / 30卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Hermite-Hadamard inequalities; Riemann-Liouville fractional integrals; fractional integral equalities; (s; m)-convex functions. equalities;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, two new integral equalities involving left-sided and right-sided Riemann-Liouville fractional integrals are established. Thereafter, some new fractional Hermite-Hadamard inequalities are presented by using the above fractional integral equalities and applying the concepts of s-and (s, m)-convex functions and s-and (s, m)Godunova-Levin functions. Some applications to special means of real numbers are given as well.
引用
收藏
页码：195 / 208
页数：14
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