Three point rules in numerical integration

被引：21

作者：

Cerone, P ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 04期

关键词：

three point identities and inequalities; Ostrowski type inequalities; Newton-Cotes quadrature;

D O I：

10.1016/S0362-546X(01)00358-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Identities and inequalities are obtained involving evaluations at an interior and at the end points. It is shown how previous work and rules in numerical integration are recaptured as particular instances of the current development. Explicit a priori bounds are provided allowing the determination of the partition required for achieving a prescribed error tolerance. In the main, Ostrowski type inequalities are used to obtain bounds on the rules in terms of a variety of norms.

引用

页码：2341 / 2352

页数：12

共 12 条

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