On the Hadamard's type inequalities for co-ordinated convex functions via fractional integrals

被引：30

作者：

Akkurt, Abdullah ^{[1
]}

Sarikaya, Mehmet Zeki ^{[2
]}

Budak, Huseyin ^{[2
]}

Yildirim, Huseyin ^{[1
]}

机构：

[1] Univ Kahramanmaras Sutcu Imam, Fac Sci & Arts, Dept Math, TR-46100 Kahramanmaras, Turkey

[2] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey

来源：

JOURNAL OF KING SAUD UNIVERSITY SCIENCE | 2017年 / 29卷 / 03期

关键词：

Riemann-Liouville fractional integrals; Hadamard's type Inequalities; Co-ordinated convex functions; Holder's inequality;

D O I：

10.1016/j.jksus.2016.06.003

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we establish two identities for functions of two variables and apply them to give new Hermite-Hadamard type fractional integral inequalities for double fractional integrals involving functions whose derivatives are bounded or co-ordinates convex function on Delta := [a, b] x [c, d] in R-2 with a < b, c < d. (C) 2016 The Authors. Production and hosting by Elsevier B.V. on behalf of King Saud University.

引用

页码：380 / 387

页数：8

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