On L1-approximation [E-Book] / Allan M. Pinkus.
Pinkus, Allan, (author)
Cambridge : Cambridge University Press, 1989
1 online resource (x, 239 pages)
Cambridge tracts in mathematics ; 93
Full Text
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.