Skip to main content
  • Book
  • © 1994

Spaces of Approximating Functions with Haar-like Conditions

Authors:

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

  • 1304 Accesses

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

This is a preview of subscription content, access via your institution.

Table of contents (5 chapters)

  1. Front Matter

    Pages I-X
  2. Preliminaries

    • Kazuaki Kitahara
    Pages 1-7
  3. Some topics of haar-like spaces of F[a, b]

    • Kazuaki Kitahara
    Pages 30-57
  4. Approximation by step functions

    • Kazuaki Kitahara
    Pages 78-89
  5. Back Matter

    Pages 90-110

About this book

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

  • Book Title: Spaces of Approximating Functions with Haar-like Conditions

  • Authors: Kazuaki Kitahara

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0091385

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1994

  • Softcover ISBN: 978-3-540-57974-8Published: 28 June 1994

  • eBook ISBN: 978-3-540-48404-2Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 110

  • Topics: Real Functions

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions