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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/5919
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| Title: | A new numerical quadrature formula on the unit circle |
| Author(s): | Berriochoa, Elías
Cachafeiro, Alicia
Marcellán, Francisco |
| Publisher: | Springer |
| Issued date: | Apr-2007 |
| Citation: | Numerical Algorithms, 2007, vol. 44, n. 4, p. 391-401 |
| URI: | http://hdl.handle.net/10016/5919 |
| ISSN: | 1017-1398 (Print)
1572-9265 (Online) |
| DOI: | 10.1007/s11075-007-9121-3 |
| Description: | 11 pages, no figures.-- MSC2000 codes: 33C47, 42C05, 65D30.
MR#: MR2335810 (2008i:33038)
Zbl#: Zbl 1126.65023 |
| Abstract: | In this paper we study a quadrature formula for Bernstein–Szegö measures on the unit circle with a fixed number of nodes and unlimited exactness. Taking into account that the Bernstein–Szegö measures are very suitable for approximating an important class of measures we also present a quadrature formula for this type of measures such that the error can be controlled with a well-bounded formula. |
| Sponsor: | This work was supported by Ministerio de Educación y Ciencia under grants number MTM2005-01320 (E. B. and A. C.) and MTM2006-13000-C03-02 (F. M.). |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1007/s11075-007-9121-3 |
| Keywords: | Orthogonal polynomials
Szegö quadrature
Numerical integration |
| Rights: | © Springer |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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