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

被引：29

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

共 25 条

[11] ON SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS AND APPLICATIONS [J].

Kirmaci, U. S. ;

Dikici, R. .

TAMKANG JOURNAL OF MATHEMATICS, 2013, 44 (01) :41-51

[12]

Miller K.S., 1993, INTRO FRACTIONAL CAL

[13]

Özdemir ME, 2011, HACET J MATH STAT, V40, P219

[14] On some inequalities of Hermite-Hadamard type via m-convexity [J].

Ozdemir, M. Emin ;

Avci, Merve ;

Set, Erhan .

APPLIED MATHEMATICS LETTERS, 2010, 23 (09) :1065-1070

[15] On some Hadamard-type inequalities for product of two s-convex functions on the co-ordinates [J].

Ozdemir, Muhamet Emin ;

Latif, Muhammad Amer ;

Akdemir, Ahmet Ocak .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012, :1-13

[16]

Samko A. A., 1993, Fractional Integrals andDerivatives: Theory and Applications

[17]

Sarikaya M. Z., 2012, Tamsui Oxford J. Inform. Math. Sci, V28, P137

[18]

Sarikaya MZ, 2012, DEMONSTR MATH, V45, P533

[19] Some inequalities for differentiable coordinated convex mappings [J].

Sarikaya, Mehmet Zeki .

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2015, 8 (03)

[20] On the Hermite-Hadamard-type inequalities for co-ordinated convex function via fractional integrals [J].

Sarikaya, Mehmet Zeki .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2014, 25 (02) :134-147

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