Generalizations and refinements of Hermite-Hadamard's inequality

被引：48
|
作者：
Qi, F [1 ]
Wei, ZL
Yang, Q
机构：
[1] Henan Polytech Univ, Dept Appl Math & Informat, Res Inst Appl Math, Jiaozuo City 454000, Henan, Peoples R China
[2] Luoyang Normal Coll, Dept Math, Luoyang City 471022, Henan, Peoples R China
[3] N China Inst Water Conservancy & Hydroelect Power, Zhengzhou, Henan, Peoples R China
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2005年 / 35卷 / 01期
关键词：
harmonic sequence of polynomials; Hermite-Hadamard's inequality; Appell condition; n-convex function; bounded derivative;
D O I：
10.1216/rmjm/1181069779
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, with the help of the concept of the harmonic sequence of polynomials, the well known Hermite-Hadamard's inequality for convex functions is generalized to cases with bounded derivatives of nth order, including the so-called n-convex functions, from which Hermite-Hadamard's inequality is extended and refined.
引用
收藏
页码：235 / 251
页数：17
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