Spaces of Approximating Functions with Haar-like Conditions

  • Authors
  • Kazuaki┬áKitahara

Part of the Lecture Notes in Mathematics book series (LNM, volume 1576)

Table of contents

  1. Front Matter
    Pages I-X
  2. Kazuaki Kitahara
    Pages 1-7
  3. Kazuaki Kitahara
    Pages 30-57
  4. Kazuaki Kitahara
    Pages 78-89
  5. Back Matter
    Pages 90-110

About this book

Introduction

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.

Keywords

algebra approximation theory functional analysis linear algebra

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0091385
  • Copyright Information Springer-Verlag Berlin Heidelberg 1994
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-57974-8
  • Online ISBN 978-3-540-48404-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book
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