Constructive Theory of Functions of Several Variables Proceedings of
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571 Constructive Theory of Functions of Several Variables Proceedings of a Conference Held at 0 berwolfach April 25 - May 1, 1976
Edited by w. Schempp and K. Zeller
Springer-Verlag Berlin' Heidelberg· New York 1977
Editors Prof. Dr. Walter Schempp Lehrstuhl fOr Mathematik I Universitat Siegen H6lderlinstra6e 3 5900 Siegen 211BRD Prof. Dr. Karl Zeller Mathematisches Institut Universitiit Tubingen Auf der Morgenstelle 10 7400 TObingen lIBRD
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AMS Subject Classifications (1970): 41A63
ISBN 3·540-06069·4 SpringerNeriag Berlin ' Heidelberg· New York ISBN o-387-{)6069'4 Springer·Verlag New York' Heidelberg' Berlin This work is 8ubjcciiO copyright. All rights are reserved, whether the whole or part of the material i s concerned, specifically those 01 trans lation, reo printing, fe'use of lilustrations, broadcasting, reproduction by photocopying machine or si milar means. and storage in data banks. Under § 54 01 the German Co~right Law where copies are made for other than private use, a fee is payablo 10 the publisher, the amount of the fee to be determined by agreement with the pubtisher. by Sprlnger-Vertag Bertin' Heidelberg 1071
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Printing and binding: Beltz Offsetdruck. HemabachiBerg8lr. 43210
Preface The conference ·Constructive Theory of Functions of Several Variables~ was held at the Oberwolfach Mathematical Research Institute, April 25 - May 1, 1976. It was attended by 46 mathematicians from seven countries. These proceedings contain most of the papers presented during the conference. The topics treated cover different problems on multivariate approximation theory such as new results in the theory of spline approximation, multivariate interpolation, cubature, poSitive operators, intermediate spaces, special functions of mathematical physics, etc. wo take this opportunity to oxpross our thanks to all those who participated in the conference or contributed to this volume. OUr particular thankS are due to Prof. Or. G. Meinardus (Siegenj for his interest in this conference although he was unable to participate, to Dr. F.J. Delvos \Siegenj , who did a large part of the editorial and organizational work, to the Oberwolfach Mathematical Research Institute for financial assistance and for the facilities provided, and to the staff of Springer Verlag for their courtesy and valuable co-operation. September 1976
Walter Schempp , Slegen Karl Zeller, TUbingen
CONTENTS
J. ALBRECHT and H. ENGELS Zur numerischen Integration Uber
~reisbereichen
.... . .
B.O. BJORNESTAL Stability of Steiner Points
1
6
K. BOHMER and GH . COMAN Blending Interpolation Schemes on Triangles with Error Bounds
14
J. BOMAN Comparison Theorems for Generalized Moduli o
