Properties of h-convex functions related to the Hermite-Hadamard-Fejer inequalities

被引：142

作者：

Bombardelli, Mea ^{[1
]}

Varosanec, Sanja ^{[1
]}

机构：

[1] Univ Zagreb, Dept Math, Zagreb 10000, Croatia

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 09期

关键词：

Convex function; h-convex function; Hermite-Hadamard-Fejer inequalities; Mean of order p; p-logarithmic mean;

D O I：

10.1016/j.camwa.2009.07.073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the Hermite-Hadamard-Fejer inequalities for an h-convex function and we point out the results for some special classes of functions. Also, some generalization of the Hermite-Hadamard inequalities and some properties of functions H and F which are naturally joined to the h-convex function are given. Finally, applications on p-logarithmic mean and mean of the order p are obtained. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1869 / 1877

页数：9

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