Fractional Hermite-Hadamard inequalities for (α,m)-logarithmically convex functions

被引：0
作者：
Jianhua Deng
JinRong Wang
机构：
[1] Guizhou University,Department of Mathematics
[2] Guizhou Normal College,School of Mathematics and Computer Science
来源：
Journal of Inequalities and Applications | / 2013卷
关键词：
Hermite-Hadamard type inequalities; Riemann-Liouville fractional integrals; -logarithmically convex functions;
D O I：
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中图分类号：
学科分类号：
摘要：
By means of two fundamental fractional integral identities, we derive two classes of new Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals for once and twice differentiable (α,m)-logarithmically convex functions, respectively. The main novelty of this paper is that we use powerful series to describe our estimations.
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