Progress in Approximation Theory An International Perspective

Designed to give a contemporary international survey of research activities in approximation theory and special functions, this book brings together the work of approximation theorists from North America, Western Europe, Asia, Russia, the Ukraine, and sev

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19

Editorial Board R.L. Graham, Murray Hill (NJ) J. Stoer, Warzburg R. Varga, Kent (Ohio)

A.A. Gonchar

E.B. Saff

Editors

Progress in Approximation Theory An International Perspective

Springer-Verlag New York Berlin Heidelberg London Paris Toyko Hong Kong Barcelona Budapest

AA Gonchar Steklov Mathematics Institute 117966 Moscow GSP-1 Russia

E.B. Saff Institute for Constructive Mathematics University of South Florida Tampa, FL 33620 USA

Mathematics Subject Classification (1991): 30-06, 33-06, 41-06 With 9 figures. Library of Congress Cataloging-in-Publication Data Progress in approximation theory: an international perspectivel edited by A.A. Gonchar and E.B. Saff. p. cm. - (Springer series in computational mathematics; 19.) "Proceedings of an international conference on approximation theory that was held March 19-22, 1990, at the University of South Florida, Tampa"-Pref. Includes bibliographical references (p. 33-35) and index. ISBN-13:978-1-4612-7737-8 1. Approximation theory-Congresses. I. Gonchar, A.A. (Andrei A.) II. Saff, E.B., 1944- . III. Series. QA221.P78 1992 511 '.4-dc20 92-24316 Printed on acid-free paper.

© 1992 Springer-Verlag New York, Inc. Softcover reprint of the hardcover 1st edition 1992 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer-Verlag New York, Inc., 175 Fifth Avenue, New York, NY 10010, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use of general descriptive names, trade names, trademarks, etc., in this publication, even if the former are not especially identified, is not to be taken as a sign that such names, as understood by the Trade Marks and Merchandise Marks Act, may accordingly be used freely by anyone. Permission to photocopy for internal or personal use, or the internal or personal use of specific clients, is granted by Springer-Verlag New York, Inc., for libraries registered with the Copyright Clearance Center (CCC), provided that the base fee of $0.00 per copy, plus $0.20 per page is paid directly to CCC, 21 Congress St., Salem, MA 01970, USA. Special requests should be addressed directly to Springer-Verlag New York, Inc., 175 Fifth Avenue, New York, NY 10010, USA. ISBN-13:978-1-4612-7737-811992$0.00 + 0.20 Production managed by Francine Sikorski; manufacturing supervised by Vincent Scelta. Camera-ready copy prepared at the Institute for Constructive Mathematics. 987654321 ISBN-13:978-1-4612-7737-8 DOl: 10.1007/978-1-4612-2966-7

e- ISBN-13:978-1-4612-2966-7

Preface This volume is the proceedings of an international conference on approximation theory that was held March 19 to 22, 1990, at the University of South Florida, Thmpa. The conference was a historic event in the sense that it brought together for the first time a large number of appr