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Three Point Rules in Numerical Integration

Cerone, Pietro (2000) Three Point Rules in Numerical Integration. RGMIA research report collection, 3 (2).

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Abstract

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-Grüss type inequalities are used to obtain bounds on the rules in terms of a variety of norms.

Item Type: Article
Uncontrolled Keywords: three point identities and inequalities, Ostrowski and Grüss type inequalities, Newton-Cotes quadrature
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 19 Jul 2012 08:17
Last Modified: 24 May 2013 04:12
URI: http://vuir.vu.edu.au/id/eprint/17298
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