Skip to main content
SpringerLink
Log in

Spaces of Approximating Functions with Haar-like Conditions

  • Book
  • © 1994

Overview

Authors:
  1. Kazuaki Kitahara
    View author publications

    You can also search for this author in PubMed   Google Scholar

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

  • 1366 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this book

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

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (5 chapters)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  2. Preliminaries

    • Kazuaki Kitahara
    Pages 1-7

  3. Characterizations of approximating spaces of C[a, b] or C 0(Q)

    • Kazuaki Kitahara
    Pages 8-29

  4. Some topics of haar-like spaces of F[a, b]

    • Kazuaki Kitahara
    Pages 30-57

  5. Approximation by vector-valued monotone increasing or convex functions

    • Kazuaki Kitahara
    Pages 58-77

  6. Approximation by step functions

    • Kazuaki Kitahara
    Pages 78-89

  7. Back Matter

    Pages 90-110
    Download chapter PDF
Back to top

Keywords

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.

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

Publish with us

Policies and ethics

Back to top

Search

Navigation