Spaces of approximating functions with Haar-like conditions
Author(s)
Bibliographic Information
Spaces of approximating functions with Haar-like conditions
（Lecture notes in mathematics, 1576）
Springer-Verlag, c1994
- : gw
- : us
Available at / 90 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Etchujima library, Tokyo University of Marine Science and Technology自然
: gw410.8||L 1||1576179686
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
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Note
Includes bibliographical references (p. 101-108) and index
Description and Table of Contents
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.
Table of Contents
Preliminaries.- Characterizations of approximating spaces of C[a, b] or C 0(Q).- Some topics of haar-like spaces of F[a, b].- Approximation by vector-valued monotone increasing or convex functions.- Approximation by step functions.
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