Inequalities of Hermite-Hadamard-Fejer type for convex functions and convex functions on the co-ordinates in a rectangle from the plane

被引：0

作者：

Tseng, Kuei-Lin ^{[1
]}

Pecaric, J. ^{[2
]}

Hwang, Shiow-Ru ^{[3
]}

Chen, Yi-Liang ^{[4
]}

机构：

[1] Aletheia Univ, Dept Math, Tamsui 25103, Taiwan

[2] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia

[3] China Inst Technol, Taipei 11522, Taiwan

[4] Taipei Phys Educ Coll, Grad Inst Sport Tech, Taipei, Taiwan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2008年 / 12卷 / 03期

关键词：

Hermite-Hadamard inequality; Fejer inequality; convex function; convex function on the co-ordinates;

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 inequalities of Hermite-Hadamard-Fejer type for convex functions and convex functions on the co-ordinates defined in a rectangle from the plane.

引用

页码：703 / 717

页数：15

共 17 条

[1]

[Anonymous], 2001, TAMKANG J MATH, DOI DOI 10.5556/J.TKJM.32.2001.354

[2] INTEGRAL-INEQUALITIES FOR CONCAVE FUNCTIONS WITH APPLICATIONS TO SPECIAL-FUNCTIONS [J].

BRENNER, JL ;

ALZER, H .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1991, 118 :173-192

[3] 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

[4] 2 MAPPINGS IN CONNECTION TO HADAMARDS INEQUALITIES [J].

DRAGOMIR, SS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 167 (01) :49-56

[5] Inequalities of Hadamard's type for Lipschitzian mappings and their applications [J].

Dragomir, SS ;

Cho, YJ ;

Kim, SS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 245 (02) :489-501

[6]

Fejer L., 1906, MATH NATURWISS ANZ U, V24, P369, DOI DOI 10.1090/S0002-9939-1953-0056039-2

[7]

Hadamard J., 1893, J MATH PURES APPL, V58, P171

[8]

Lee K.C., 2000, TAMSUI OXFORD J MATH, V16, P91

[9] On some inequalities of Brenner and Alzer for concave functions [J].

Pearce, CEM ;

Pecaric, JE .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 198 (01) :282-288

[10]

TSENG KL, 2003, RGMIA RES REP COLL, V6

← 1 2 →