Coverart for item
The Resource Approximation of set-valued functions : adaptation of classical approximation operators, Nira Dyn, Elza Farkhi, Alona Mokhov, Tel Aviv University, Israel

Approximation of set-valued functions : adaptation of classical approximation operators, Nira Dyn, Elza Farkhi, Alona Mokhov, Tel Aviv University, Israel

Label
Approximation of set-valued functions : adaptation of classical approximation operators
Title
Approximation of set-valued functions
Title remainder
adaptation of classical approximation operators
Statement of responsibility
Nira Dyn, Elza Farkhi, Alona Mokhov, Tel Aviv University, Israel
Creator
Contributor
Author
Subject
Language
eng
Summary
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. Readership: Researchers and graduate students in the fields of approximation theory, set-valued analysis, dynamical systems, control and game theory, optimization and geometric modeling. --Provided by publisher
Cataloging source
DLC
http://library.link/vocab/creatorName
Dyn, N.
Dewey number
515/.8
Illustrations
illustrations
Index
index present
LC call number
QA221
LC item number
.D94 2014
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Farkhi, Elza
  • Mokhov, Alona
http://library.link/vocab/subjectName
  • Approximation theory
  • Linear operators
  • Function spaces
  • Approximation theory
  • Function spaces
  • Linear operators
Label
Approximation of set-valued functions : adaptation of classical approximation operators, Nira Dyn, Elza Farkhi, Alona Mokhov, Tel Aviv University, Israel
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Scientific background -- On functions with values in metric spaces -- On sets -- On set valued functions (SVFs) -- Approximation of SVFs with Images in Rn -- Methods based on canonical representation -- Methods based on Minkowski convex combinations -- MEthods based on the metric average -- Methods based on metric linear combinations -- Mathods based on metric selections -- Approximation of SVFs with Images in R -- SVFs with images in R -- Multi-segmented and topological representations -- Methods based on topological representation
Control code
849719556
Dimensions
24 cm
Extent
xiii, 153 pages
Isbn
9781783263028
Lccn
2014023451
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
System control number
(OCoLC)849719556
Label
Approximation of set-valued functions : adaptation of classical approximation operators, Nira Dyn, Elza Farkhi, Alona Mokhov, Tel Aviv University, Israel
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Scientific background -- On functions with values in metric spaces -- On sets -- On set valued functions (SVFs) -- Approximation of SVFs with Images in Rn -- Methods based on canonical representation -- Methods based on Minkowski convex combinations -- MEthods based on the metric average -- Methods based on metric linear combinations -- Mathods based on metric selections -- Approximation of SVFs with Images in R -- SVFs with images in R -- Multi-segmented and topological representations -- Methods based on topological representation
Control code
849719556
Dimensions
24 cm
Extent
xiii, 153 pages
Isbn
9781783263028
Lccn
2014023451
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
System control number
(OCoLC)849719556

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
Processing Feedback ...