NEW INEQUALITIES ON HERMITE-HADAMARD UTILIZING FRACTIONAL INTEGRALS

被引：9

作者：

Qaisar, Shahid ^{[1
]}

Iqbal, Muhammad ^{[2
,3
]}

Hussain, Sabir ^{[4
]}

Butt, Saad I. ^{[5
]}

Meraj, Muhammad A. ^{[1
]}

机构：

[1] Comsats Inst Informat Technol, Dept Math, Sahiwal, Pakistan

[2] Univ Engn & Technol, Dept Math, Lahore, Pakistan

[3] Govt Islamia Coll Civil Line, Dept Math, Lahore, Pakistan

[4] Qassim Univ, Coll Sci, Dept Math, POB 6644, Buraydah 51482, Saudi Arabia

[5] Comsats Inst Informat Technol, Dept Math, Lahore, Pakistan

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2018年 / 42卷 / 01期

关键词：

Hermite-Hadamard's inequality; Riemann-Liouville fractional integration; convex functions; power-mean inequality;

D O I：

10.5937/KgJMath1801015Q

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present article, firstly authors have established an integral identity for Riemann-Liouville fractional integrals. Secondly, some Hermite-Hadamard type integral inequalities utilizing this integral identity are obtained and presented results have some closely connection with [M. Z. Sarikaya, N. Aktan, On the generalization of some integral inequalities and their applications, Mathematical and Computer Modeling 54(9) (2011), 2175-2182].

引用

页码：15 / 27

页数：13

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