Three point rules in numerical integration

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Cerone, Pietro (2001) Three point rules in numerical integration. Nonlinear analysis, 47 (4). pp. 2341-2352. ISSN 0362-546x

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 pri-ori 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.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/1044
DOI	10.1016/S0362-546X(01)00358-3
Official URL	http://dx.doi.org/10.1016/S0362-546X(01)00358-3
Subjects	Historical > RFCD Classification > 290000 Engineering and Technology Historical > RFCD Classification > 230000 Mathematical Sciences Historical > Faculty/School/Research Centre/Department > School of Engineering and Science Historical > RFCD Classification > 280000 Information, Computing and Communication Sciences
Keywords	Three point identities and inequalities, ostrowski type inequalities, Newton-Cotes quadrature
Citations in Scopus	21 - View on Scopus
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