Hermite-Hadamard-Fejer Inequality Related to Generalized Convex Functions via Fractional Integrals

被引：24
|
作者：
Delavar, M. Rostamian [1 ]
Aslani, S. Mohammadi [2 ]
De La Sen, M. [3 ]
机构：
[1] Univ Bojnord, Fac Basic Sci, Dept Math, Bojnord, Iran
[2] Islamic Azad Univ, Karaj Branch, Dept Math, Karaj, Iran
[3] Univ Basque Country, Inst Res & Dev Proc, Campus Leioa,Aptdo 644, Bilbao 48080, Spain
来源：
JOURNAL OF MATHEMATICS | 2018年 / 2018卷
关键词：
D O I：
10.1155/2018/5864091
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with Hermite-Hadamard-Fejer inequality for (eta(1), eta(2))-convex functions via fractional integrals. Some mid-point and trapezoid type inequalities related to Hermite-Hadamard inequality when the absolute value of derivative of considered function is(eta(1), eta(2))-convex functions are obtained. Furthermore, a refinement for classic Hermite-Hadamard inequality via fractional integrals is given when a positive (eta(1), eta(2))-convex function is increasing.
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页数：10
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