Weighted Approximation with Varying Weight
A new construction is given for approximating a logarithmic potential by a discrete one. This yields a new approach to approximation with weighted polynomials of the form w"n"(" "= uppercase)P"n"(" "= uppercase). The new technique settles several open problems...
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| Format: | Livre numérique |
| Sprog: | Anglais |
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Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serier: | Lecture notes in mathematics
1569 |
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| Edition sous un autre format: | • Weighted approximation with varying weight, Vilmos Totik, 1994, Berlin, Springer-Verlag, 1 volume (VI-114 pages), Lecture notes in mathematics, 3-540-57705-X • Weighted Approximation with Varying Weight, Texte imprimé, 9783662162552 |
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| 100 | 1 | |a Totik, Vilmos, |d 1954- | |
| 245 | 1 | 0 | |a Weighted Approximation with Varying Weight |c Vilmos Totik. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1569 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Freud weights -- Approximation with general weights -- Varying weights -- Applications. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a A new construction is given for approximating a logarithmic potential by a discrete one. This yields a new approach to approximation with weighted polynomials of the form w"n"(" "= uppercase)P"n"(" "= uppercase). The new technique settles several open problems, and it leads to a simple proof for the strong asymptotics on some L p(uppercase) extremal problems on the real line with exponential weights, which, for the case p=2, are equivalent to power- type asymptotics for the leading coefficients of the corresponding orthogonal polynomials. The method is also modified toyield (in a sense) uniformly good approximation on the whole support. This allows one to deduce strong asymptotics in some L p(uppercase) extremal problems with varying weights. Applications are given, relating to fast decreasing polynomials, asymptotic behavior of orthogonal polynomials and multipoint Pade approximation. The approach is potential-theoretic, but the text is self-contained. | ||
| 650 | |a Approximation, Théorie de l' | ||
| 650 | |a Polynômes | ||
| 650 | |a Théorie du potentiel | ||
| 650 | |a Fonctions d'une variable réelle | ||
| 776 | 0 | |0 01804719X |t Weighted approximation with varying weight |f Vilmos Totik |d 1994 |c Berlin |n Springer-Verlag |p 1 volume (VI-114 pages) |s Lecture notes in mathematics |z 3-540-57705-X | |
| 776 | 0 | |t Weighted Approximation with Varying Weight |b Texte imprimé |z 9783662162552 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0076133 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-9FX7XH32-J |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750654228 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0076133 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754004341 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0076133 |z Accès INSA CVL | |
| 997 | |0 971284 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||