Some generalizations of Hermite-Hadamard type inequalities

被引：55

作者：

Delavar, M. Rostamian ^{[1
]}

De La Sen, M. ^{[2
]}

机构：

[1] Univ Bojnord, Fac Basic Sci, Dept Math, Bojnord, Iran

[2] Univ Basque Country, Inst Res & Dev Proc, Campus Leioa Bizkaia,Aptdo 644, Bilbao 48080, Spain

来源：

SPRINGERPLUS | 2016年 / 5卷

关键词：

eta-convex function; Integral inequalities; Hermite-Hadamard inequality; DIFFERENTIABLE MAPPINGS; REAL NUMBERS; FORMULA; CONVEX;

D O I：

10.1186/s40064-016-3301-3

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：

Some generalizations and refinements of Hermite-Hadamard type inequalities related to eta-convex functions are investigated. Also applications for trapezoid and mid-point type inequalities are given.

引用

页数：9

共 13 条

[1] Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means [J].

Alomari, M. ;

Darus, M. ;

Kirmaci, U. S. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (01) :225-232

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

DRAGOMIR, SS .

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

[3] Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula [J].

Dragomir, SS ;

Agarwal, RP .

APPLIED MATHEMATICS LETTERS, 1998, 11 (05) :91-95

[4] ON φ-CONVEX FUNCTIONS [J].

Gordji, M. Eshaghi ;

Delavar, M. Rostamian ;

De La Sen, M. .

JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (01) :173-183

[5]

Gordji ME, 2015, INT J NONLINEAR ANAL, V6, P27

[6] Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula [J].

Kirmaci, US .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 147 (01) :137-146

[7] Inequalities for differentiable mappings with application to special means and quadrature formulae [J].

Pearce, CEM ;

Pecaric, J .

APPLIED MATHEMATICS LETTERS, 2000, 13 (02) :51-55

[8]

Pearic J., 1991, Convex Functions, Partial Orderings and Statistical Applications

[9]

Rostamian Delavar M, 2016, MATH INEQUAL APPL

[10]

Rostamian Delavar M, U P B SCI A IN PRESS

← 1 2 →