m
• E

F Nous contacter

0

Documents  Critères de recherche : "Approximation with rational functions" | enregistrements trouvés : 2

O

P Q

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Rational approximation of functions with logarithmic singularities Pushnitski, Alexander | CIRM H

Multi angle

I will report on the results of my recent work with Dmitri Yafaev (Rennes I). We consider functions $\omega$ on the unit circle with a finite number of logarithmic singularities. We study the approximation of $\omega$ by rational functions in the BMO norm. We find the leading term of the asymptotics of the distance in the BMO norm between $\omega$ and the set of rational functions of degree $n$ as $n$ goes to infinity. Our approach relies on the Adamyan-Arov-Krein theorem and on the study of the asymptotic behaviour of singular values of Hankel operators. In particular, we make use of the localisation principle, which allows us to combine the contributions of several singularities in one asymptotic formula. I will report on the results of my recent work with Dmitri Yafaev (Rennes I). We consider functions $\omega$ on the unit circle with a finite number of logarithmic singularities. We study the approximation of $\omega$ by rational functions in the BMO norm. We find the leading term of the asymptotics of the distance in the BMO norm between $\omega$ and the set of rational functions of degree $n$ as $n$ goes to infinity. Our approach relies on the ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Approximation with rational functions Newman, D. J. | American Mathematical Society 1979

Ouvrage

- 52 p.
ISBN 978-0-8218-1691-2

CBMS regional conference series in mathematics , 0041

Localisation : Collection 1er étage

Filtrer

Langue

Titres de périodiques et e-books électroniques (Depuis le CIRM)

Ressources Electroniques

Books & Print journals

Recherche avancée

0
Z