The Resource Approximation of setvalued functions : adaptation of classical approximation operators, Nira Dyn, Elza Farkhi, Alona Mokhov, Tel Aviv University, Israel
Approximation of setvalued functions : adaptation of classical approximation operators, Nira Dyn, Elza Farkhi, Alona Mokhov, Tel Aviv University, Israel
Resource Information
The item Approximation of setvalued functions : adaptation of classical approximation operators, Nira Dyn, Elza Farkhi, Alona Mokhov, Tel Aviv University, Israel represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Approximation of setvalued functions : adaptation of classical approximation operators, Nira Dyn, Elza Farkhi, Alona Mokhov, Tel Aviv University, Israel represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This book is aimed at the approximation of setvalued functions with compact sets in an Euclidean space as values. The interest in setvalued 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 crosssections. This is reflected in the focus of this book, which is the approximation of setvalued 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 setvalued functions. Specialized results are given for functions with 1D sets as values. Readership: Researchers and graduate students in the fields of approximation theory, setvalued analysis, dynamical systems, control and game theory, optimization and geometric modeling. Provided by publisher
 Language
 eng
 Extent
 xiii, 153 pages
 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
 Multisegmented and topological representations
 Methods based on topological representation
 Isbn
 9781783263028
 Label
 Approximation of setvalued functions : adaptation of classical approximation operators
 Title
 Approximation of setvalued functions
 Title remainder
 adaptation of classical approximation operators
 Statement of responsibility
 Nira Dyn, Elza Farkhi, Alona Mokhov, Tel Aviv University, Israel
 Language
 eng
 Summary
 This book is aimed at the approximation of setvalued functions with compact sets in an Euclidean space as values. The interest in setvalued 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 crosssections. This is reflected in the focus of this book, which is the approximation of setvalued 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 setvalued functions. Specialized results are given for functions with 1D sets as values. Readership: Researchers and graduate students in the fields of approximation theory, setvalued 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 setvalued functions : adaptation of classical approximation operators, Nira Dyn, Elza Farkhi, Alona Mokhov, Tel Aviv University, Israel
 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  Multisegmented 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 setvalued functions : adaptation of classical approximation operators, Nira Dyn, Elza Farkhi, Alona Mokhov, Tel Aviv University, Israel
 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  Multisegmented 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 Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Approximationofsetvaluedfunctions/2D5OlP6F4z0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Approximationofsetvaluedfunctions/2D5OlP6F4z0/">Approximation of setvalued functions : adaptation of classical approximation operators, Nira Dyn, Elza Farkhi, Alona Mokhov, Tel Aviv University, Israel</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Approximation of setvalued functions : adaptation of classical approximation operators, Nira Dyn, Elza Farkhi, Alona Mokhov, Tel Aviv University, Israel
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Approximationofsetvaluedfunctions/2D5OlP6F4z0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Approximationofsetvaluedfunctions/2D5OlP6F4z0/">Approximation of setvalued functions : adaptation of classical approximation operators, Nira Dyn, Elza Farkhi, Alona Mokhov, Tel Aviv University, Israel</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>