Approximation and Representation of Set-valued Functions with Compact Images
Author : Alona Mokhov
Publisher :
Page : 114 pages
File Size : 37,67 MB
Release : 2011
Category : Approximation theory
ISBN :
Author : Alona Mokhov
Publisher :
Page : 114 pages
File Size : 37,67 MB
Release : 2011
Category : Approximation theory
ISBN :
Author : Nira Dyn
Publisher : World Scientific
Page : 168 pages
File Size : 22,59 MB
Release : 2014-10-30
Category : Mathematics
ISBN : 1783263040
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.
Author :
Publisher : Elsevier
Page : 235 pages
File Size : 15,36 MB
Release : 2011-10-10
Category : Mathematics
ISBN : 0080871364
This work deals with the many variations of the Stoneileierstrass Theorem for vector-valued functions and some of its applications. The book is largely self-contained. The amount of Functional Analysis required is minimal, except for Chapter 8. The book can be used by graduate students who have taken the usual first-year real and complex analysis courses.
Author : Dimitrios Kandilakis
Publisher :
Page : 136 pages
File Size : 22,32 MB
Release : 1986
Category :
ISBN :
Author : Dimitrios Kandilakis
Publisher :
Page : 272 pages
File Size : 47,11 MB
Release : 1986
Category :
ISBN :
Author : Tadeusz Figiel
Publisher :
Page : 440 pages
File Size : 10,74 MB
Release : 2006
Category : Approximation theory
ISBN :
Author : Nira Dyn
Publisher :
Page : 153 pages
File Size : 27,29 MB
Release : 2014
Category : Mathematics
ISBN : 9781783263028
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.
Author :
Publisher :
Page : 596 pages
File Size : 23,22 MB
Release : 2007
Category : Mathematics
ISBN :
Author : Carlo Sansone
Publisher : Springer Science & Business Media
Page : 1075 pages
File Size : 13,82 MB
Release : 2009-09-03
Category : Computers
ISBN : 3642041450
This book constitutes the refereed proceedings of the 15th International Conference on Image Analysis and Processing, ICIAP 2009, held in Vietri sul Mare, Italy, in September 2009. The 107 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 168 submissions. The papers are organized in topical sections on computer graphics and image processing, low and middle level processing, 2D and 3D segmentation, feature extraction and image analysis, object detection and recognition, video analysis and processing, pattern analysis and classification, learning, graphs and trees, applications, shape analysis, face analysis, medical imaging, and image analysis and pattern recognition.
Author : Vladimir Kadets
Publisher : Springer
Page : 553 pages
File Size : 30,7 MB
Release : 2018-07-10
Category : Mathematics
ISBN : 3319920049
Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis. Starting from basic topics before proceeding to more advanced material, the book covers measure and integration theory, classical Banach and Hilbert space theory, spectral theory for bounded operators, fixed point theory, Schauder bases, the Riesz-Thorin interpolation theorem for operators, as well as topics in duality and convexity theory. Aimed at advanced undergraduate and graduate students, this book is suitable for both introductory and more advanced courses in functional analysis. Including over 1500 exercises of varying difficulty and various motivational and historical remarks, the book can be used for self-study and alongside lecture courses.