On L1-Approximation, Paperback / softback Book

On L1-Approximation Paperback / softback

Part of the Cambridge Tracts in Mathematics series

Paperback / softback

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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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