Three Point Rules in Numerical Integration

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


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
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
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