TY - BOOK AU - Pinkus,Allan TI - On L1-approximation T2 - Cambridge tracts in mathematics SN - 9780511526497 (ebook) AV - QA221 .P55 1989 U1 - 511/.4 19 PY - 1989/// CY - Cambridge PB - Cambridge University Press KW - Approximation theory KW - Least absolute deviations (Statistics) N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015) N2 - 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 UR - https://doi.org/10.1017/CBO9780511526497 ER -