On L1-Approximation

On L1-Approximation

by Allan M. Pinkus
     
 

This monograph discusses the qualitative linear theory of best L1-approximation from finite-dimensional subspaces. It presents a survey of recent research that extends classical results concerned with best-uniform approximation to the more general case. The work is organized to serve as a self-study guide or as a text for advanced courses. It begins with a basic… See more details below

Overview

This monograph discusses the qualitative linear theory of best L1-approximation from finite-dimensional subspaces. It presents a survey of recent research that extends classical results concerned with best-uniform approximation to the more general case. The work is organized to serve as a self-study guide or as a text for advanced courses. It begins with a basic introduction to the concepts of approximation theory before addressing 1- or 2-sided best approximations from finite-dimensional subspaces and approaches to the computation of these. At the end of each chapter is a series of exercises that give the reader an opportunity to test understanding and also contain some theoretical digressions and extensions of the text.

Product Details

ISBN-13:
9780521057691
Publisher:
Cambridge University Press
Publication date:
12/28/2007
Series:
Cambridge Tracts in Mathematics Series
Pages:
252
Product dimensions:
5.90(w) x 8.90(h) x 0.90(d)

Table of Contents

Preface; 1. Preliminaries; 2. Approximation from finite-dimensional subspaces of L1; 3. Approximation from finite-dimensional subspaces in C1 (K, µ); 4. Unicity subspaces and property A; 5. One-sided L1-approximation; 6. Discrete lm1 - approximation; 7. Algorithms; Appendices; References; Author index; Subject index.

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