On the asymptotic behavior of \(L_{p}\) extremal polynomials
| Autor: | Yamina Laskri, Rachid Benzine |
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| Jazyk: | angličtina |
| Rok vydání: | 2005 |
| Předmět: | |
| Zdroj: | Journal of Numerical Analysis and Approximation Theory, Vol 34, Iss 2 (2005) |
| Druh dokumentu: | article |
| ISSN: | 2457-6794 2501-059X |
| Popis: | Let \(\beta \) denote a positive Szeg? measure on the unit circle \(\Gamma \) and \(\delta _{z_{k}}\) denote an anatomic measure (\(\delta \) Dirac) centered on the point \(z_{k}.\) We study, for all \(p>0,\) the asymptotic behavior of \(L_{p}\) extremal polynomials with respect to a measure of the type \[ \alpha =\beta +\sum_{k=1}^{\infty }A_{k}\delta _{z_{k}}, \] where \(\left\{ z_{k}\right\} _{k=1}^{\infty }\) is an infinite collection of points outside \(\Gamma \). |
| Databáze: | Directory of Open Access Journals |
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