HERMITE-HADAMARD TYPE INTEGRAL INEQUALITIES FOR GENERALIZED CONVEX FUNCTIONS

被引：0

作者：

Aslani, S. Mohammadi ^{[1
]}

Delavar, M. Rostamian ^{[2
]}

Vaezpour, S. M. ^{[3
]}

机构：

[1] Islamic Azad Univ, Karaj Branch, Dept Math, Karaj, Iran

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

[3] Amirkabir Univ Technol, Dept Math & Comp Sci, 424 Hafez Ave, Tehran, Iran

来源：

JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS | 2018年 / 9卷 / 01期

关键词：

preinvex function; eta-convex function; 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：

This paper deals with some results about (eta(1), eta(2))-convex functions as a generalization of convex functions. Hermite-Hadamard, trapezoid and mid-point type inequalities are obtained. Also the classes of (eta(1), eta(2))(b)-convex and (eta(1), eta(2))(E)-convex functions are introduced and their relations with (eta(1), eta(2))-convex functions are investigated.

引用

页码：17 / 33

页数：17

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