Hermite-Hadamard type inequalities for fractional integrals via Green's function

被引：84

作者：

Khan, Muhammad Adil ^{[1
,2
]}

Iqbal, Arshad ^{[2
]}

Suleman, Muhammad ^{[2
]}

Chu, Yu-Ming ^{[3
]}

机构：

[1] Hunan City Univ, Coll Sci, Yiyang, Peoples R China

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

[3] Huzhou Univ, Dept Math, Huzhou, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年

关键词：

Hermite-Hadamard inequality; convex function; Green's function; DIFFERENTIABLE MAPPINGS; CONVEX-FUNCTIONS;

D O I：

10.1186/s13660-018-1751-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the article, we establish the left Riemann-Liouville fractional Hermite-Hadamard type inequalities and the generalized Hermite-Hadamard type inequalities by using Green's function and Jensen's inequality, and present several new Hermite-Hadamard type inequalities for a class of convex as well as monotone functions.

引用

页数：15

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