A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means

被引：84

作者：

Dragomir, SS ^{[1
]}

Cerone, P ^{[1
]}

Roumeliotis, J ^{[1
]}

机构：

[1] Victoria Univ Technol, Sch Commun & Informat, Melbourne, MC 8001, Australia

来源：

APPLIED MATHEMATICS LETTERS | 2000年 / 13卷 / 01期

关键词：

Ostrowski inequality; quadrature formulae;

D O I：

10.1016/S0893-9659(99)00139-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a new inequality of Ostrowski type for functions with bounded derivatives. This has immediate applications in numerical integration where new estimates are obtained for the remainder term of the trapezoid, mid-point, and Simpson formulae. Application to special means are also investigated. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：19 / 25

页数：7