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.
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页码：193 / 211
页数：19
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