Perturbed Rules in Numerical Integration from Product Branched Peano Kernels
Download
Download
Download![[thumbnail of PRNIPBPK.pdf]](https://vuir.vu.edu.au/style/images/fileicons/text.png)
Export
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 |
| Download/View statistics | View download statistics for this item |
CORE (COnnecting REpositories)