文档介绍：Karl- Steffens
The History of
Approximation Theory
From Euler to Bernstein
Birkhauser¨
Boston • Basel • Berlin
Consulting Editor:
Karl- Steffens
e A. Anastassiou
Auf der neuen Ahr 18
University of Memphis
52372 Kreuzau
Department of Mathematical Sciences
Germany
Memphis, TB 38152
******@
USA
Cover design by Mary Burgess.
AMS Subject Classification: 11J68, 32E30, 33F05, 37Mxx, 40-XX, 41-XX, 41A10
Library of Congress Control Number:
ISBN 0-8176-4353-2 eISBN 0-8176-4353-9
ISBN-13 978-0-8176-
Printed on acid-free paper.
c 2006 Birkhauser¨ Boston
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Preface
The aim of the present work is to describe the early development of approxi-
mation theory. We set as an endpoint the year 1919 when de la Vall´ee-Poussin
published his lectures [Val19]. With these lectures all fundamental questions,
that is, non-quantitative theorems, series expansions and quantitative prob-
lems, received their first summarized discussion.
The clear priority of the present investigations are the contributions of
Pafnuti Lvovich Chebyshev and of the St Petersburg Mathematical School
founded by him. Although some overviews and