On L1-approximation / Allan M. Pinkus.

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 f...

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Bibliographic Details
Uniform Title:Cambridge tracts in mathematics ; 93.
Main Author: Pinkus, Allan, 1946- (Author)
Language:English
Published: Cambridge : Cambridge University Press, 1989.
Series:Cambridge tracts in mathematics ; 93.
Subjects:
Online Access:
Physical Description:1 online resource (x, 239 pages) : digital, PDF file(s).
Format: Electronic eBook

MARC

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520 |a 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. 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. 
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