Allan Pinkus

On L1-Approximation

• Gebundenes Buch

Produktbeschreibung

This monograph is concerned with the qualitative 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 L1 case. The work is organised in such a way as to be useful for self-study or as a text for advanced courses. It begins with a basic introduction to the concepts of approximation theory before addressing one- or two-sided best approximation from finite-dimensional subspaces and approaches to the computation of these. At the end of each chapter is a series of exercises; these give the reader an opportunity to test understanding and also contain some theoretical digressions and extensions of the text.

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.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 252
• Erscheinungstermin: 3. Juli 2003
• Englisch
• Abmessung: 235mm x 157mm x 19mm
• Gewicht: 567g
• ISBN-13: 9780521366502
• ISBN-10: 052136650X
• Artikelnr.: 22302693

Inhaltsangabe

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.