SOME NEW HADAMARD TYPE INEQUALITIES FOR CO-ORDINATED m-CONVEX AND (α, m)-CONVEX FUNCTIONS

被引：0

作者：

Ozdemir, M. Emin ^{[1
]}

Set, Erhan ^{[2
]}

Sarikaya, Mehmet Zeki ^{[1
]}

机构：

[1] Ataturk Univ, Dept Math, KK Educ Fac, Erzurum, Turkey

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

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2011年 / 40卷 / 02期

关键词：

m-convex function; (alpha; m)-convex function; co-ordinated convex mapping; Hermite-Hadamard inequality;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish some new Hermite-Hadamard type inequalities for m-convex and (alpha, m)-convex functions of 2-variables on the co-ordinates.

引用

页码：219 / 229

页数：11

共 9 条

[1]

Alomari M., 2008, Int. J. Contemp. Math. Sci., V3, P1557

[2]

[Anonymous], 1993, Stud. U. Babes-Bol. Mat.

[3]

Bakula M.K., 2008, J. Ineq. Pure Appl. Math, V9, P96

[4] Variants of Cebysev's inequality with applications [J].

Bakula, M. Klaricic ;

Matkovic, A. ;

Pecaric, J. .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2006, 2006 (1)

[5]

Dragomir S. S., 2000, RGMIA Monographs

[6] 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

[7]

Mihesan V. G., 1993, A Generalization of the Convexity, Seminar on Functional Equations, Approximation and Convexity

[8]

Set E, 2009, RGMIA RES REP COLL, V12, P4

[9]

Toader G., 1985, P C APPR OPT CLUJ NA, P329, DOI DOI 10.12691/TJANT-2-3-1

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