On Hermite-Hadamard type inequalities via fractional integrals of a function with respect to another function

被引：53

作者：

Jleli, Mohamed ^{[1
]}

Samet, Bessem ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 03期

关键词：

Hermite-Hadamard inequality; fractional integral with respect to another function; Riemann-Liouville fractional integral; Hadamard fractional integral; CONVEX-FUNCTIONS; MAPPINGS;

D O I：

10.22436/jnsa.009.03.50

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish new Hermite-Hadamard type inequalities involving fractional integrals with respect to another function. Such fractional integrals generalize the Riemann-Liouville fractional integrals and the Hadamard fractional integrals. (C)2016 All rights reserved.

引用

页码：1252 / 1260

页数：9

共 22 条

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