Approximation of Set-Valued Functions: Adaptation of Classical Approximation Operators - Rilegato

Nira Dyn; Farkhi, Elza; Mokhov, Alona

 
9781783263028: Approximation of Set-Valued Functions: Adaptation of Classical Approximation Operators
Rilegato
ISBN 10: 1783263024 ISBN 13: 9781783263028
Casa editrice: Imperial College Pr, 2014

Sinossi

This book is aimed at the approximation of set-valued functions with compact sets in an Euclidean space as values. The interest in set-valued functions is rather new. Such functions arise in various modern areas such as control theory, dynamical systems and optimization. The authors' motivation also comes from the newer field of geometric modeling, in particular from the problem of reconstruction of 3D objects from 2D cross-sections. This is reflected in the focus of this book, which is the approximation of set-valued functions with general (not necessarily convex) sets as values, while previous results on this topic are mainly confined to the convex case. The approach taken in this book is to adapt classical approximation operators and to provide error estimates in terms of the regularity properties of the approximated set-valued functions. Specialized results are given for functions with 1D sets as values.

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Recensione

This book may be useful for researchers who are working in related fields such as control and game theory, mathematical economics, optimization and geometric modeling. --Zentralblatt MATH

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Imperial College Pr
Data di pubblicazione
2014
Lingua
Inglese
ISBN 10 
1783263024
ISBN 13 
9781783263028
Rilegatura
Copertina rigida
Numero di pagine
153
Contatto del produttore
non disponibile
Persona responsabile
non disponibile