On inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional integrals

被引：27

作者：

Abdeljawad, Thabet ^{[1
,2
,3
]}

Ali, Muhammad Aamir ^{[4
]}

Mohammed, Pshtiwan Othman ^{[5
]}

Kashuri, Artion ^{[6
]}

机构：

[1] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia

[2] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

[3] Asia Univ, Dept Comp Sci & Informat Engn, Taichung 41354, Taiwan

[4] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing, Peoples R China

[5] Univ Sulaimani, Coll Educ, Dept Math, Sulaimani 4600, Kurdistan Regio, Iraq

[6] Univ Ismail Qemali, Fac Tech Sci, Dept Math, Vlora, Albania

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 01期

关键词：

Riemann-Liouville fractional integral; Hermite-Hadamard-Mercer inequality; Jensen-Mercer inequality; CONVEX FUNCTIONS;

D O I：

10.3934/math.2021043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The goal of this article is to establish many inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional operators. We also establish some related fractional integral inequalities connected to the left side of Hermite-Hadamard-Mercer type inequality for differentiable convex functions. Further remarks and observations for these results are given. Finally, we see the efficiency of our inequalities via some applications on special means.

引用

页码：712 / 725

页数：14

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