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

被引:19
|
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
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
收藏
页数:12
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