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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6363
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| Title: | Zero location and n-th root asymptotics of Sobolev orthogonal polynomials |
| Author(s): | López Lagomasino, Guillermo
Pijeira, Héctor |
| Publisher: | Elsevier |
| Issued date: | Jul-1999 |
| Citation: | Journal of Approximation Theory, 1999, vol. 99, n. 1, p. 30-43 |
| URI: | http://hdl.handle.net/10016/6363 |
| ISSN: | 0021-9045 |
| DOI: | 10.1006/jath.1998.3318 |
| Description: | 14 pages, no figures.-- MSC2000 codes: 42C05, 33C45.
MR#: MR1696589 (2000g:42035)
Zbl#: Zbl 0949.42020 |
| Abstract: | For a wide class of Sobolev orthogonal polynomials, it is proved that their zeros are contained in a compact subset of the complex plane and the asymptotic zero distribution is obtained. With this information, the nth root asymptotic behavior outside the compact set containing all the zeros is given. |
| Sponsor: | Research by the first author (G.L.L.) was partially supported by Dirección General de Enseñanza Superior under Grant PB 96-0120-C03-01 and by INTAS under Grant 93-0219 EXT. Research by the second author (H.P.) carried out while following a Doctoral Program at Universidad Carlos III de Madrid under grant from Agencia Española de Cooperación Internacional. |
| Review: | PeerReviewed |
| Publisher version: | http.//dx.doi.org/10.1006/jath.1998.3318 |
| Keywords: | Sobolev orthogonal polynomials
Borel measures
Zeros
Dirac measure |
| Rights: | © Elsevier |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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