Hermite-Hadamard inequalities for relative semi-convex functions and applications

被引：19

作者：

Noor, Muhammad Aslam ^{[1
]}

Noor, Khalida Inayat ^{[1
]}

Awan, Muhammad Uzair ^{[1
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan

来源：

FILOMAT | 2014年 / 28卷 / 02期

关键词：

convex functions; relative semi-convex functions; Hermite-Hadamard inequality; means; GENERAL VARIATIONAL-INEQUALITIES; DIFFERENTIABLE MAPPINGS; REAL NUMBERS; FORMULA;

D O I：

10.2298/FIL1402221N

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove some Hermite-Hadamard inequalities for the class of relative semi-convex functions. Several special cases are also discussed. Thus it is worth mentioning that our results can be viewed as a generalization of previous results. Some applications to special means are also presented. Ideas and techniques of this paper may inspire further research in various branches of pure and applied sciences.

引用

页码：221 / 230

页数：10

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