On some new Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals

被引：31

作者：

Zhang, Yuruo ^{[1
]}

Wang, JinRong ^{[1
,2
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

[2] Guizhou Normal Coll, Dept Math, Guiyang 550018, Guizhou, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

基金：

中国国家自然科学基金;

关键词：

Riemann-Liouville fractional integrals; Hermite-Hadamard type inequalities; m-convex function; (s; m)-convex function; (ALPHA;

D O I：

10.1186/1029-242X-2013-220

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, three fundamental and important Riemann-Liouville fractional integral identities including a twice differentiable mapping are established. Secondly, some interesting Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals for m-convexity and (s, m)-convexity functions, respectively, by virtue of the established integral identities are presented.

引用

页数：27

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