On L1-Approximation (Cambridge Tracts in Mathematics, Series Number 93) - Hardcover

Pinkus, Allan M.

Hardcover

ISBN 10: 052136650X ISBN 13: 9780521366502

Publisher: Cambridge University Press, 1989

Synopsis

This monograph discusses the qualitative linear theory of best L^T1-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.

About this title

Book Description:

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 organized in such a way as to be useful for self-study or as a text for advanced courses.

Review:

"A clearly written, friendly, and enthusiastic introduction to the qualitative theory of best approximation..." American Mathematical Monthly

"...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

About this edition

• Publisher: Cambridge University Press
• Publication date: 1989
• ISBN 10: 052136650X
• ISBN 13: 9780521366502
• Binding: Hardcover
• Edition number: 1
• Number of pages: 252