Approximation Of Set Valued Functions
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Author | : Nira Dyn |
Publisher | : |
Total Pages | : 153 |
Release | : 2014 |
Genre | : Mathematics |
ISBN | : 9781783263028 |
Download Approximation of Set-valued Functions Book in PDF, Epub and Kindle
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 | : Nira Dyn |
Publisher | : World Scientific |
Total Pages | : 168 |
Release | : 2014-10-30 |
Genre | : Mathematics |
ISBN | : 1783263040 |
Download Approximation Of Set-valued Functions: Adaptation Of Classical Approximation Operators Book in PDF, Epub and Kindle
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 | : Richard A. Vitale |
Publisher | : |
Total Pages | : 23 |
Release | : 1978 |
Genre | : Approximation theory |
ISBN | : |
Download Approximation of Convex Set-Valued Functions Book in PDF, Epub and Kindle
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).
Author | : Alona Mokhov |
Publisher | : |
Total Pages | : 114 |
Release | : 2011 |
Genre | : Approximation theory |
ISBN | : |
Download Approximation and Representation of Set-valued Functions with Compact Images Book in PDF, Epub and Kindle
Author | : |
Publisher | : Elsevier |
Total Pages | : 235 |
Release | : 2011-10-10 |
Genre | : Mathematics |
ISBN | : 0080871364 |
Download Approximation of Vector Valued Functions Book in PDF, Epub and Kindle
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 | : |
Total Pages | : 136 |
Release | : 1986 |
Genre | : |
ISBN | : |
Download On the theory of set valued functions with applications in approximation, optimization and control theory Book in PDF, Epub and Kindle
Author | : Dimitrios Kandilakis |
Publisher | : |
Total Pages | : 272 |
Release | : 1986 |
Genre | : |
ISBN | : |
Download On the Theory of Set Valued Functions with Application in Approximation Optimization and Control Theory Book in PDF, Epub and Kindle
Author | : Klaus Keimel |
Publisher | : |
Total Pages | : 13 |
Release | : 1987 |
Genre | : |
ISBN | : |
Download A Korovkin type approximation theorem for set valued functions Book in PDF, Epub and Kindle
Author | : Klaus Keimel |
Publisher | : Springer |
Total Pages | : 140 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540470794 |
Download Ordered Cones and Approximation Book in PDF, Epub and Kindle
This book presents a unified approach to Korovkin-type approximation theorems. It includes classical material on the approximation of real-valuedfunctions as well as recent and new results on set-valued functions and stochastic processes, and on weighted approximation. The results are notonly of qualitative nature, but include quantitative bounds on the order of approximation. The book is addressed to researchers in functional analysis and approximation theory as well as to those that want to applythese methods in other fields. It is largely self- contained, but the readershould have a solid background in abstract functional analysis. The unified approach is based on a new notion of locally convex ordered cones that are not embeddable in vector spaces but allow Hahn-Banach type separation and extension theorems. This concept seems to be of independent interest.
Author | : Shay Kels |
Publisher | : |
Total Pages | : 100 |
Release | : 2013 |
Genre | : |
ISBN | : |
Download Approximation of Set-valued Functions in the Symmetric Difference Metric with Application to 3D Reconstruction from Cross-sections/ Shay, Kels Book in PDF, Epub and Kindle