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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6448
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| Title: | The multiplication operator, zero location and asymptotic for non-diagonal Sobolev norms |
| Author(s): | Portilla, Ana
Rodríguez, José M.
Tourís, Eva |
| Publisher: | Springer |
| Issued date: | 2010 |
| Citation: | Acta Applicandae Mathematicae, 2010, doi: 10.1007/s10440-009-9541-2 (In press) |
| URI: | http://hdl.handle.net/10016/6448 |
| ISSN: | 0167-8019 (Print)
1572-9036 (Online) |
| DOI: | 10.1007/s10440-009-9541-2 |
| Description: | 14 pages, no figures.-- Online version published Jul 9, 2009.
Article in press. |
| Abstract: | In this paper we are going to study the zero location and asymptotic behavior of extremal polynomials with respect to a generalized non-diagonal Sobolev norm in which the product of the function and its derivative appears. The orthogonal polynomials with respect to this Sobolev norm are a particular case of those extremal polynomials. The multiplication operator by the independent variable is the main tool in order to obtain our results. |
| Sponsor: | Supported in part by three grants from M.E.C. (MTM 2006-13000-C03-02, MTM 2006-11976 and MTM 2007-30904-E) and by a grant from U.C.III M./C.A.M. (CCG07-UC3M/ESP-3339), Spain. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1007/s10440-009-9541-2 |
| Keywords: | Multiplication operator
Zero location
Asymptotic
Weight
Sobolev orthogonal polynomials
Extremal polynomials
Weighted Sobolev spaces |
| Rights: | © Springer |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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