ENGLISH

Spaces of Approximating Functions with Haar-like Conditions

By Kazuaki Kitahara (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1994
ISBN
978-3-540-57974-8, 978-3-540-48404-2
DOI
10.1007/BFb0091385
Language
english
Format
PDF
Filesize
2 MB (2233795 bytes)
Series
Lecture Notes in Mathematics 1576
Edition
1
Pages
110\118
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Real Functions

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.

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