Spaces of Approximating Functions with Haar-like Conditions: 1576 (Lecture Notes in Mathematics, 1576) - Softcover

Kitahara, Kazuaki

 
9783540579748: Spaces of Approximating Functions with Haar-like Conditions: 1576 (Lecture Notes in Mathematics, 1576)

Synopsis

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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9780387579740: Spaces of Approximating Functions With Haar-Like Conditions (Lecture Notes in Mathematics)

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ISBN 10:  0387579745 ISBN 13:  9780387579740
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