General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function

被引：20

作者：

Farid, G. ^{[1
]}

Khan, K. A. ^{[2
]}

Latif, N. ^{[3
]}

Rehman, A. U. ^{[1
]}

Mehmood, S. ^{[4
]}

机构：

[1] COMSATS Univ Islamabad, Dept Math, Attock, Pakistan

[2] Univ Sargodha, Dept Math, Sargodha, Pakistan

[3] Jubail Ind Coll, Gen Studies Dept, Jubail Ind City, Saudi Arabia

[4] GBPS Sherani, Hazro Attock, Pakistan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年

关键词：

Convex function; m-convex function; Mittag-Leffler function; Generalized fractional integral operators; Hadamard inequality;

D O I：

10.1186/s13660-018-1830-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper some new general fractional integral inequalities for convex and m-convex functions by involving an extended Mittag-Leffler function are presented. These results produce inequalities for several kinds of fractional integral operators. Some interesting special cases of our main results are also pointed out.

引用

页数：12

共 19 条

[1] Generalizations of some fractional integral inequalities via generalized Mittag-Leffler function [J].