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Approximation Of Set-valued Functions: Adaptation Of Classical Approximation Operators

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Title: Approximation Of Set-valued Functions: Adaptation Of Classical Approximation Operators
Description: 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.
Authors: Nira Dyn, Elza Farkhi, Alona Mokhov
Resource Type: eBook.
Subjects: Function spaces, Linear operators, Approximation theory
Categories: MATHEMATICS / Applied, MATHEMATICS / Game Theory, MATHEMATICS / Optimization
Database: eBook Collection (EBSCOhost)
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 886753
RelevancyScore: 1057
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1057.36352539063
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  Label: Title
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  Data: Approximation Of Set-valued Functions: Adaptation Of Classical Approximation Operators
– Name: Abstract
  Label: Description
  Group: Ab
  Data: 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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  Data: <searchLink fieldCode="AR" term="%22Nira+Dyn%22">Nira Dyn</searchLink><br /><searchLink fieldCode="AR" term="%22Elza+Farkhi%22">Elza Farkhi</searchLink><br /><searchLink fieldCode="AR" term="%22Alona+Mokhov%22">Alona Mokhov</searchLink>
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  Data: eBook.
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  Data: <searchLink fieldCode="DE" term="%22Function+spaces%22">Function spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+operators%22">Linear operators</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.8
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Function spaces
        Type: general
      – SubjectFull: Linear operators
        Type: general
      – SubjectFull: Approximation theory
        Type: general
    Titles:
      – TitleFull: Approximation Of Set-valued Functions: Adaptation Of Classical Approximation Operators
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Nira Dyn
      – PersonEntity:
          Name:
            NameFull: Elza Farkhi
      – PersonEntity:
          Name:
            NameFull: Alona Mokhov
      – PersonEntity:
          Name:
            NameFull: Nira Dyn
      – PersonEntity:
          Name:
            NameFull: Elza Farkhi
      – PersonEntity:
          Name:
            NameFull: Alona Mokhov
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2014
            – D: 25
              M: 11
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9781783263028
            – Type: isbn-electronic
              Value: 9781783263035
            – Type: isbn-electronic
              Value: 9781783263042
          Titles:
            – TitleFull: Approximation Of Set-valued Functions: Adaptation Of Classical Approximation Operators
              Type: main
ResultId 1