On L1-Approximation

ISBN-13: 9780521366502 / Angielski / Twarda / 1989 / 252 str.

Allan Pinkus

Opis

This monograph discusses the qualitative linear theory of best L DEGREEST1-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 t

Recenzje

"...an excellent compendium of the current best known qualitative results on best approximations from finite-dimensional subspaces of L1 spaces....could easily be used in a graduate topics course, and surely will be a standard reference work." Mathematical Reviews

Spis treści

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.