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.

引用

页数：10

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