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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6563
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| Title: | Strong asymptotics for Sobolev orthogonal polynomials |
| Author(s): | Martínez-Finkelshtein, Andrei
Pijeira, Héctor |
| Publisher: | Springer |
| Issued date: | Dec-1999 |
| Citation: | Journal d'Analyse Mathématique, 1999, vol. 78, n. 1, p. 143-156 |
| URI: | http://hdl.handle.net/10016/6563 |
| ISSN: | 0021-7670 (Print)
1565-8538 (Online) |
| DOI: | 10.1007/BF02791131 |
| Description: | 14 pages, no figures.-- MSC1991 codes: 42C05, 33C25.
Zbl 0937.42011 |
| Abstract: | In this paper we obtain the strong asymptotics for the sequence of orthogonal polynomials with respect to the inner product
$$ \langle f,g,\rangle=\sum_{k=0}\sp n \int_{\Delta_k} f\sp (k)}(x)g\sp (k)}(x) d\mu_k(x), $$
where $\{\mu_k\}_k=0\sp m, $ with m ∈ Z+ are measures supported on [−1,1] which satisfy Szegö's condition. |
| Sponsor: | Research by first author (A.M.F.) was partially supported by a research grant from Dirección General de Enseñanza Superior (DGES) of Spain, project code PB95-1205, a research grant from the European Economic Community, INTAS-93-219-ext, and by Junta de Andalucía, Grupo de Investigación FQM 0229. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1007/BF02791131 |
| Keywords: | Sobolev inner product
Orthogonal polynomials
Asymptotics
Szegö's condition |
| Rights: | © Springer |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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