On Hermite-Hadamard type inequalities via generalized fractional integrals

被引：36

作者：

Jleli, Mohamed ^{[1
]}

O'Regan, Donal ^{[2
]}

Samet, Bessem ^{[1
]}

机构：

[1] King Saud Univ, Dept Math, Coll Sci, Riyadh, Saudi Arabia

[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

来源：

TURKISH JOURNAL OF MATHEMATICS | 2016年 / 40卷 / 06期

关键词：

Hermite-Hadamard inequality; convex function; generalized fractional integral; Riemann-Liouville fractional integral; Hadamard fractional integral; MAPPINGS;

D O I：

10.3906/mat-1507-79

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

New Hermite-Hadamard type inequalities are obtained for convex functions via generalized fractional integrals. The results presented here are generalizations of those obtained in earlier works.

引用

页码：1221 / 1230

页数：10

共 25 条

[1] Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means [J].