Sharp inequalities of Ostrowski type for convex functions defined on linear spaces and application

被引：6

作者：

Kikianty, Eder ^{[1
]}

Dragomir, S. S. ^{[1
]}

Cerone, P. ^{[1
]}

机构：

[1] Victoria Univ, Sch Comp Sci & Math, Melbourne, Vic 8001, Australia

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 56卷 / 09期

关键词：

Ostrowski type inequality; Hermite-Hadamard type inequality; Semi-inner product; Convex function;

D O I：

10.1016/j.camwa.2008.03.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An Ostrowski type inequality for convex functions defined on linear spaces is generalised. Some inequalities which improve the Hermite-Hadamard type inequality for convex functions defined on linear spaces are derived using the obtained result. The results in normed linear spaces are used to obtain some inequalities which are related to the given norm and associated semi-inner products, and to prove the sharpness of the constants in those inequalities. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2235 / 2246

页数：12

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