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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6572
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| Title: | Strong asymptotics for Gegenbauer-Sobolev orthogonal polynomials |
| Author(s): | Martínez-Finkelshtein, Andrei
Moreno Balcázar, Juan José
Pijeira, Héctor |
| Publisher: | Elsevier |
| Issued date: | 8-Jul-1997 |
| Citation: | Journal of Computational and Applied Mathematics, 1997, vol. 81, n. 2, p. 211-216 |
| URI: | http://hdl.handle.net/10016/6572 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/S0377-0427(97)00059-9 |
| Description: | 6 pages, no figures.-- MSC1991 codes: 33C25; 42CO5.
Zbl#: Zbl 0895.33003 |
| Abstract: | We study the asymptotic behaviour of the monic orthogonal polynomials with respect to the Gegenbauer-Sobolev inner product (f,g)_S= <f,g> + λ<f',g'> where <f,g> = \int_{-1}\sp 1f(x)g(x)(1-x\sp 2)\sp {\alpha-\frac{1}{2}}dx, with α > -1/2 and λ > 0. The asymptotics of the zeros and norms of these polynomials are also established. |
| Sponsor: | Research by first (A.M.F.) and second (J.J.M.B.) was partially supported by Junta de Andalucía, Grupo de Investigación FQM 0229. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1016/S0377-0427(97)00059-9 |
| Keywords: | Sobolev orthogonal polynomials
Asymptotics |
| Rights: | © Elsevier |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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