A MAPPING ASSOCIATED TO h-CONVEX VERSION OF THE HERMITE-HADAMARD INEQUALITY WITH APPLICATIONS

被引：34

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：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2020年 / 14卷 / 02期

关键词：

h-convex function; Hermite-Hadamard inequality; special means;

D O I：

10.7153/jmi-2020-14-22

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a real mapping L(t) related to the h-convex version of the Hermite-Hadamard inequality. In special cases some generalized form of the Hermite-Hadamard inequality for convex functions are obtained. Also, as an application some inequalities for special means are given.

引用

页码：329 / 335

页数：7

共 11 条

[1]

Breckner W. W., 1978, PUBL I MATH, V23, P13

[2] Some generalizations of Hermite-Hadamard type inequalities [J].

Delavar, M. Rostamian ;

De La Sen, M. .

SPRINGERPLUS, 2016, 5

[3]

DELAVAR M. ROSTAMIAN, EXTENSION INEQ UNPUB

[4] ON η-CONVEXITY [J].

Delavar, Mohsen Rostamian ;

Dragomir, Silvestru Sever .

MATHEMATICAL INEQUALITIES & APPLICATIONS, 2017, 20 (01) :203-216

[5]

Dragomir S. S., 1995, Some inequalities of Hadamard type, V21, P335

[6]

DRAGOMIR SS, 1993, U BELGRAD PUBL ELEK, V4, P21

[7]

Dragomir SS., 2000, Selected Topics on Hermite-Hadamard Inequalities and Applications

[8]

Godunova E. K., 1985, Vycislitel. Mat. i. Fiz. Mezvuzov. Sb. Nauc. Trudov, MGPI, Moskva, V9, P138

[9]

Pearic JE., 1992, Convex Functions, Partial Orderings, and Statistical Applications

[10]

Sarikaya M.Z., 2007, J MATH INEQUAL, V2, P335, DOI DOI 10.7153/JMI-02-30

← 1 2 →