Perturbed Rules in Numerical Integration from Product Branched Peano Kernels
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Cerone, Pietro (2004) Perturbed Rules in Numerical Integration from Product Branched Peano Kernels. Nonlinear Analysis Forum: an International Journal, 9 (1). pp. 1-23. ISSN 1226-7228
Abstract
Perturbed rules are obtained by using a variety of inequalities to obtain bounds for the Chebychev functional. In particular, Gr¨uss, premature Gr¨uss 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/2540 |
| Official URL | http://www.ks.ac.kr/~bslee/naf/table/vol-0901/v090... |
| Subjects | Historical > Faculty/School/Research Centre/Department > School of Engineering and Science Historical > FOR Classification > 0199 Other Mathematical Sciences Information Systems |
| Keywords | ResPubID7453, Perturbed rules, Chebychev functional, Simpson type rules |
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