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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| Prif Awduron: | , |
|---|---|
| Fformat: | Livre numérique |
| Iaith: | Anglais |
| Cyhoeddwyd: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Cyfres: | Lecture notes in mathematics
1305 |
| Pynciau: | |
| Mynediad Ar-lein: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| 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 |
Tabl Cynhwysion:
- 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.