Multivariate Approximation - Couverture rigide

Temlyakov, V.

Couverture rigide

ISBN 10 : 1108428754 ISBN 13 : 9781108428750

Editeur : Cambridge University Press, 2018

Synopsis

This self-contained, systematic treatment of multivariate approximation begins with classical linear approximation, and moves on to contemporary nonlinear approximation. It covers substantial new developments in the linear approximation theory of classes with mixed smoothness, and shows how it is directly related to deep problems in other areas of mathematics. For example, numerical integration of these classes is closely related to discrepancy theory and to nonlinear approximation with respect to special redundant dictionaries, and estimates of the entropy numbers of classes with mixed smoothness are closely related to (in some cases equivalent to) the Small Ball Problem from probability theory. The useful background material included in the book makes it accessible to graduate students. Researchers will find that the many open problems in the theory outlined in the book provide helpful directions and guidance for their own research in this exciting and active area.

A propos du livre

À propos de l'auteur

V. Temlyakov is Carolina Distinguished Professor in the Department of Mathematics at the University of South Carolina. He has written several books on approximation theory, and has received numerous honours and awards. His research interests include greedy approximation, compressed sensing, learning theory and numerical integration.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1108428754
• ISBN 13: 9781108428750
• Reliure: Relié
• Nombre de pages: 550
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France