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

页码：235 / 251

页数：17

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