Strong Asymptotics for Extremal Polynomials Associated with Weights on
0. The results are consequences of a strengthened form of the following assertion: Given 0 <p<, f Lp ( ) and a certain sequence of positive numbers associated with Q(x), there exist polynomials Pn of degree at most n, n = 1,2,3..., such that if and only if f(x) = 0 for a.e. 1. Auxiliary result...
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| Auteurs principaux: | , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Series: | Lecture notes in mathematics
1305 |
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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| Edition sous un autre format: | • Strong asymptotics for extremal polynomials associated with weights on R, D.S. Lubinsky, E.B. Staff, 1988, Berlin, Springer-Verlag, 1 volume (VII-153 pages), Lecture notes in mathematics, 0-387-18958-0 • Strong Asymptotics for Extremal Polynomials Associated with Weights on R, Texte imprimé, 9783662163153 |
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| 084 | |a 41A25. 1980 | ||
| 084 | |a 42C05. 1980 | ||
| 100 | 1 | |a Lubinsky, Doron S., |d 1955- | |
| 245 | 1 | 0 | |a Strong Asymptotics for Extremal Polynomials Associated with Weights on |c D.S. Lubinsky, E.B. Saff. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1305 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Notation and index of notation -- Statement of main results -- Weighted polynomials and zeros of extremal polynomials -- Integral equations -- Polynomial approximation of potentials -- Infinite-finite range inequalities and their sharpness -- The largest zeros of extremal polynomials -- Further properties of Un, R(x) -- Nth root asymptotics for extremal polynomials -- Approximation by certain weighted polynomials, I -- Approximation by certain weighted polynomials, II -- Bernstein's formula and bernstein extremal polynomials -- Proof of the asymptotics for Enp(W) -- Proof of the asymptotics for the Lp extremal polynomials -- The case p=2 : Orthonormal polynomials. | |
| 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 0. The results are consequences of a strengthened form of the following assertion: Given 0 <p<, f Lp ( ) and a certain sequence of positive numbers associated with Q(x), there exist polynomials Pn of degree at most n, n = 1,2,3..., such that if and only if f(x) = 0 for a.e. 1. Auxiliary results include inequalities for weighted polynomials, and zeros of extremal polynomials. The monograph is fairly self-contained, with proofs involving elementary complex analysis, and the theory of orthogonal and extremal polynomials. It should be of interest to research workers in approximation theory and orthogonal polynomials. | ||
| 650 | |a Problèmes extrémaux (mathématiques) | ||
| 650 | |a Polynômes orthogonaux | ||
| 650 | |a Analyse numérique | ||
| 650 | |a Approximation, Théorie de l' | ||
| 650 | |a Développements asymptotiques | ||
| 700 | 1 | |a Saff, Edward Barry, |d 1944-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 020649703 |t Strong asymptotics for extremal polynomials associated with weights on R |f D.S. Lubinsky, E.B. Staff |d 1988 |c Berlin |n Springer-Verlag |p 1 volume (VII-153 pages) |s Lecture notes in mathematics |z 0-387-18958-0 | |
| 776 | 0 | |t Strong Asymptotics for Extremal Polynomials Associated with Weights on R |b Texte imprimé |z 9783662163153 | |
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| 856 | 4 | |5 452349901:750670185 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0082413 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754019136 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0082413 |z Accès INSA CVL | |
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