Hermite-Hadamard type inequalities for generalized Riemann-Liouville fractional integrals of h-convex functions

被引:45
作者
Dragomir, Silvestru Sever [1 ,2 ]
机构
[1] Victoria Univ, Math, Coll Engn & Sci, POB 14428, Melbourne, MC 8001, Australia
[2] Univ Witwatersrand, DST NRF Ctr Excellence Math & Stat Sci, Sch Comp Sci & Appl Math, Private Bag 3, ZA-2050 Johannesburg, South Africa
关键词
convex functions; Hadamard fractional integral; Hermite-Hadamard type inequalities; h-convex functions; Riemann-Liouville fractional integrals;
D O I
10.1002/mma.5893
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we establish some Hermite-Hadamard type inequalities for the Generalized Riemann-Liouville fractional integrals I(a+g)(alpha)f and I(b-g)(alpha)f, where g is a strictly increasing function on (a,b), having a continuous derivative on (a, b) and under the assumption that the composite function fog(-1) is h-convex on (g (a), g (b)). Some applications for Hadamard fractional integrals and s-Godunova-Levin type convex functions are also provided.
引用
收藏
页码:2364 / 2380
页数:17
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