Multivariate Approximation (Hardcover)

V. Temlyakov

ISBN 10: 1108428754 / ISBN 13: 9781108428750

Verlag: Cambridge University Press, Cambridge, 2018

Beschreibung

Hardcover. 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. Starting from classical linear approximation, this is a self-contained presentation of modern multivariate approximation theory that explores its connections with other areas of mathematics. The prerequisites are no more than standard undergraduate mathematics, so the book will be accessible to graduate students and non-specialists. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Bestandsnummer des Verkäufers 9781108428750

Bibliografische Details

• Titel: Multivariate Approximation (Hardcover)
• Verlag: Cambridge University Press, Cambridge
• Erscheinungsjahr: 2018
• Sprache: Englisch
• ISBN-10: 1108428754
• ISBN-13: 9781108428750
• Einband: Hardcover
• Zustand: new

Über diesen Titel

Inhaltsangabe

Self-contained presentation of multivariate approximation from classical linear approximation to contemporary nonlinear approximation.

Über die Autorin bzw. den Autor

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.