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.
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收藏
页数：15
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