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http://hdl.handle.net/10016/5912
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| Title: | New quadrature rules for Bernstein measures on the interval [-1,1] |
| Author(s): | Berriochoa, Elías
Cachafeiro, Alicia
García-Amor, José M.
Marcellán, Francisco |
| Publisher: | Kent State University |
| Issued date: | 16-Oct-2008 |
| Citation: | Electronic Transactions on Numerical Analysis, 2008, vol. 30, p. 278-290 |
| URI: | http://hdl.handle.net/10016/5912 |
| ISSN: | 1068-9613 |
| Description: | 13 pages, no figures.-- MSC2000 codes: 33C47, 42C05.
MR#: MR2480082
Zbl#: Zbl pre05602092 |
| Abstract: | In the present paper, we obtain quadrature rules for Bernstein measures on [-1, 1], having a fixed number of nodes and weights such that they exactly integrate functions in the linear space of polynomials with real coefficients. |
| Sponsor: | The first three authors were partially supported by Ministerio de Educación y Ciencia under grant number MTM2005-01320. The fourth author was partially supported by Ministerio de Educación y Ciencia under grant number MTM2006-13000-C03-02 and project CCG07-UC3M/ESP-3339 with the financial support of Comunidad de Madrid and Universidad Carlos III de Madrid. |
| Review: | PeerReviewed |
| Publisher version: | http://etna.mcs.kent.edu/vol.30.2008/pp278-290.dir/pp278-290.html |
| Keywords: | Quadrature rules
Orthogonal polynomials
Measures on the real line
Bernstein measures
Chebyshev polynomials |
| Rights: | © Kent State University |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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