Title: Spaces of approximating functions with Haar-like conditions
First published: 1994
Description: Tchebycheff (or Haar) and weak Tchebycheff spaces play a central role when considering problems of best approximation from finite dimensional spaces. The aim of this book is to introduce Haar-like spaces, which are Haar and weak Tchebycheff spaces under special conditions. It studies topics of subclasses of Haar-like spaces, that is, classes of Tchebycheff or weak Tchebycheff spaces, spaces of vector-valued monotone increasing or convex functions and spaces of step functions. The notion of Haar-like spaces provides a general point of view which includes the theories of approximation from the above spaces. The contents are largely new. Graduate students and researchers in approximation theory will be able to read this book with only basic knowledge of analysis, functional analysis and linear algebra.
Subjects: Chebyshev systems, Approximation theory, Näherungsfunktion, Beste Approximation, Benaderingen (wiskunde), Tchebychev, Systèmes de, Approximation, Haar-Raum, Haar-Funktionensystem, Approximation, Théorie de l', Funktionenraum, Mathematics
LC classification: QA3 .L28 no. 1576, QA355 .L28 no. 1576