Approximation of Set-valued Functions
Title | Approximation of Set-valued Functions PDF eBook |
Author | Nira Dyn |
Publisher | |
Pages | 153 |
Release | 2014 |
Genre | 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.
Approximation Of Set-valued Functions: Adaptation Of Classical Approximation Operators
Title | Approximation Of Set-valued Functions: Adaptation Of Classical Approximation Operators PDF eBook |
Author | Nira Dyn |
Publisher | World Scientific |
Pages | 168 |
Release | 2014-10-30 |
Genre | 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.
Approximation of Convex Set-Valued Functions
Title | Approximation of Convex Set-Valued Functions PDF eBook |
Author | Richard A. Vitale |
Publisher | |
Pages | 23 |
Release | 1978 |
Genre | Approximation theory |
ISBN |
Approximation of set-valued functions is introduced and discussed under a convexity assumption. In particular, a theorem of Korovkin type is derived for a class of approximation methods. (Author).
Approximation of Vector Valued Functions
Title | Approximation of Vector Valued Functions PDF eBook |
Author | |
Publisher | Elsevier |
Pages | 235 |
Release | 2011-10-10 |
Genre | 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.
Approximation and Representation of Set-valued Functions with Compact Images
Title | Approximation and Representation of Set-valued Functions with Compact Images PDF eBook |
Author | Alona Mokhov |
Publisher | |
Pages | 114 |
Release | 2011 |
Genre | Approximation theory |
ISBN |
On the theory of set valued functions with applications in approximation, optimization and control theory
Title | On the theory of set valued functions with applications in approximation, optimization and control theory PDF eBook |
Author | Dimitrios Kandilakis |
Publisher | |
Pages | 136 |
Release | 1986 |
Genre | |
ISBN |
On the Theory of Set Valued Functions with Application in Approximation Optimization and Control Theory
Title | On the Theory of Set Valued Functions with Application in Approximation Optimization and Control Theory PDF eBook |
Author | Dimitrios Kandilakis |
Publisher | |
Pages | 272 |
Release | 1986 |
Genre | |
ISBN |