SOME NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR h-CONVEX FUNCTIONS ON THE CO-ORDINATES VIA FRACTIONAL INTEGRALS

被引：0

作者：

Set, Erhan ^{[1
]}

Sarikaya, M. Zeki ^{[2
]}

Ogulmus, Hatice ^{[2
]}

机构：

[1] Ordu Univ, Dept Math, Fac Sci & Arts, TR-52200 Ordu, Turkey

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

来源：

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2014年 / 29卷 / 04期

关键词：

Hermite-Hadamard inequality; h-convex functions; co-ordinated convex function; Riemann-Liouville integral;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By making use of the identity obtained by Sarikaya, some new Hermite-Hadamard type inequalities for h-convex functions on the co-ordinates via fractional integrals are established. Our results have some relationships with the results of Sarikaya ([20]).

引用

页码：397 / 414

页数：18

共 23 条

[1]

Alomari M., 2009, INT J MATH ANAL, V3, P1645

[2]

Alomari M., 2008, INT J MATH ANAL, V13, P629

[3]

Anastassiou GA, 2013, FACTA UNIV-SER MATH, V28, P107

[4]

[Anonymous], 2010, NONLINEAR SCI LETT A

[5]

Belarbi S., 2009, J INEQUAL PURE APPL, V10, P1

[6]

Dragomir S.S., 2000, SELECTED TOPICS HERM

[7]

Dragomir S. S., 2002, TAMKANG J MATH, V33, P45

[8] On the Hadamard's inequality for convex functions on the co-ordinates in a rectangle from the plane [J].

Dragomir, SS .

TAIWANESE JOURNAL OF MATHEMATICS, 2001, 5 (04) :775-788

[9]

Latif M.A., 2012, J FRACTIONAL CALCULU, V2, P1

[10]

Latif M. A., 2009, INT MATH FORUM, V4, P2327, DOI DOI 10.1007/S10474-020-01025-6

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