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
收藏
页码：1869 / 1877
页数：9
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