Perturbed Rules in Numerical Integration from Product Branched Peano Kernels

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

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
URI https://vuir.vu.edu.au/id/eprint/17346
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords three point identities and inequalities, Ostrowski and Grüss type inequalities, Newton-Cotes quadrature, Chebychev functional
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