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Best Approximation by Linear Superpositions (Approximate Nomography) - Couverture rigide

American Mathematical Society

 
9780821804223: Best Approximation by Linear Superpositions (Approximate Nomography)
Couverture rigide
ISBN 10 : 0821804227 ISBN 13 : 9780821804223
Editeur : American Mathematical Society, 1996

Synopsis

This book deals with problems of approximation of continuous or bounded functions of several variables by linear superposition of functions that are from the same class and have fewer variables. The main topic is the space of linear superpositions $D$ considered as a subspace of the space of continuous functions $C(X)$ on a compact space $X$. Such properties as density of $D$ in $C(X)$, its closedness, proximality, etc. are studied in great detail. The approach to these and other problems based on duality and the Hahn-Banach theorem is emphasized. Also, considerable attention is given to the discussion of the Diliberto-Straus algorithm for finding the best approximation of a given function by linear superpositions.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
1996
Langue
anglais
ISBN 10 
0821804227
ISBN 13 
9780821804223
Reliure
Relié
Coordonnées du fabricant
non disponible
Personne responsable
Buchpark GmbH
gpsr@buchpark.de

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