h-F凸函数的一类Hadamard不等式  

On Hadamard-type Inequalities for h-F Convex Functions

作　　者：王国栋[1] 

机构地区：[1]重庆水利电力职业技术学院基础教学部,重庆永川402160

出　　处：《重庆师范大学学报（自然科学版）》2014年第6期1-4,共4页Journal of Chongqing Normal University:Natural Science

基　　金：重庆市自然科学基金项目(No.CSTC2010BB2090)

摘　　要：本文给出了一类新的广义凸函数—h-F凸函数,它推广了几类已知的广义凸函数,如s凸函数、h凸函数、不变凸函数和凸函数。本文通过探讨h-F凸函数的性质并加以利用,在h-F凸函数满足条件P1、P2和勒贝格可积的条件下,建立了h-F凸函数的Hadamard不等式和一些等式和不等式性质,它们都是几类已知的广义凸函数的Hadamard不等式的推广。In this paper we introduce a new class of generalized convex function--h Fconvex function, it is generalization of several known generalized convex function, such as s-convex function, h-convex function, index function and convex function. Based on some good properties of h-Fconvex function, we use conditionsP1 ,P2 contained equality relations between them and the function is Lebesgue integrable, Hadamard-type inequalities and some other equalities and inequality of this class of generalized convex function are given, which are generalizations of the Hadamard-type inequalities of some convex functions.

关 键 词：h-F凸函数 勒贝格可积 HADAMARD不等式 

分 类 号：O221.2[理学—运筹学与控制论]