Hermite-Hadamard-type inequalities for r-convex functions based on the use of Riemann-Liouville fractional integrals

被引：31

作者：

Wang, J. ^{[1
]}

Deng, J. ^{[1
]}

Feckan, M. ^{[2
,3
]}

机构：

[1] Guizhou Univ, Guiyang, Peoples R China

[2] Comenius Univ, Bratislava, Slovakia

[3] Slovak Acad Sci, Inst Math, Bratislava, Slovakia

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2013年 / 65卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Convex Function; Fractional Calculus; Fractional Differential Equation; Fractional Integral; Fundamental Identity;

D O I：

10.1007/s11253-013-0773-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using two fundamental fractional integral identities, we deduce some new Hermite-Hadamard-type inequalities for differentiable r-convex functions and twice-differentiable r-convex functions involving Riemann-Liouville fractional integrals.

引用

页码：193 / 211

页数：19

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