UID:
almahu_9948233375202882
Umfang:
1 online resource (xvi, 534 pages) :
,
digital, PDF file(s).
ISBN:
9781108689687 (ebook)
Serie:
Cambridge monographs on applied and computational mathematics ; 32
Inhalt:
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.
Anmerkung:
Title from publisher's bibliographic system (viewed on 25 Jul 2018).
Weitere Ausg.:
Print version: ISBN 9781108428750
Sprache:
Englisch
Fachgebiete:
Mathematik
URL:
https://doi.org/10.1017/9781108689687
URL:
Volltext
(lizenzpflichtig)
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