Product Branched Peano Kernels and Numerical Integration

Pietro Cerone ()
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Pietro Cerone: Victoria University, School of Communications and Informatics

Chapter Chapter 4 in Ostrowski Type Inequalities and Applications in Numerical Integration, 2002, pp 251-284 from Springer

Abstract: Abstract Product branches of Peano kernels are used to obtain results suitable for numer-ical integration. In particular, 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.

Keywords: Type Inequality; Quadrature Rule; Harmonic Polynomial; Perturbed Result; Incomplete Beta Function (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-2519-4_4

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DOI: 10.1007/978-94-017-2519-4_4

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