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Perturbed Rules in Numerical Integration from Product Branched Peano Kernels

Cerone, Pietro (2000) Perturbed Rules in Numerical Integration from Product Branched Peano Kernels. RGMIA research report collection, 3 (4).

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Abstract

Perturbed rules are obtained by using a variety of inequalities to obtain bounds for the Chebychev functional. In particular, Grüss, premature Grüss seminorms are used to obtain bounds for perturbed quadrature rules involving the boundary points and an interior point. Generalised Simpson type rules are shown to be recaptured as special instances of the current development.

Item Type: Article
Uncontrolled Keywords: three point identities and inequalities, Ostrowski and Grüss type inequalities, Newton-Cotes quadrature, Chebychev functional
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: 20 Jul 2012 00:42
Last Modified: 24 May 2013 04:12
URI: http://vuir.vu.edu.au/id/eprint/17346
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