Overview

The Fourth International Symposium on Multivariate Approximation Theory was held at the Oberwolfach Mathematical Research Insti­ tute, Black Forest, W.-Germany, during the week of January 20 - 26, 1985. The preceding conferences on this topic were held in 1976, 1979, and 1982 * . We were pleased to have more than 50 mathematicians from 13 countries in attendance. The program in­ cluded 40 lectures. These Proceedings form a record of most of the papers presented at the Symposium. The topics treated cover different problems on multivariate approximation such as polynomial approximation on simplices, multivariate splines (box-splines, dimension of spline spaces), blending methods, multivariate Hermite interpolation, data smoothing and surface representation, and multivariate summation methods. We would like to thank the director of the Oberwolfach Mathe­ matical Research Institute, Prof. Dr. M. Barner, and his staff for providing the facilities. Of the people who gave their time to help make this conference a success, we would like to mention in particular Prof. Dr. F.J. Delvos (Siegen), Dr. G. Baszenski (College Station, Texas), and Dipl.-Math. H. Nienhaus (Siegen). Finally, our thanks are due to Carl Einsele of Birkhauser Publishers for his valuable cooperation.

Full Product Details

Author:   SCHEMPP ,  ZELLER
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   1985 ed.
Volume:   75
Weight:   0.905kg
ISBN:  

9783764317386

ISBN 10:   3764317388
Pages:   400
Publication Date:   01 January 1985
Audience:   College/higher education ,  General/trade ,  Postgraduate, Research & Scholarly ,  General
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Zur Tagung.- List of Participants.- Program of the Sessions.- L. Bamberger: Interpolation in bivariate spline spaces.- n-th order polynomial spline blending.- The limits of multivariate cardinal splines.- Local smoothing for scattered and noisy data.- Convexity and variation diminishing property of Bernstein polynomials over triangles.- The dimensions of bivariate spline spaces over triangulations.- On bivariate vertex splines.- Biorthogonal system of polynomials on the standard simplex.- Anwendung der Approximationstheorie auf gewisse singulare Randwertaufgaben.- Combinatorial aspects of multivariate splines.- Intermediate blending interpolation.- Hermite-interpolation in N variables and minimal cubature formulae.- Some reflections on multi-dimensional Euler and Poisson summation formulas.- On the dimension of the spline space S 21(D) in special cases.- Degree of best approximation by blending functions.- Shape preserving approximation by polyhedral splines.- Numerical realization of boundary collocation methods.- Interpolation by polynomials and natural splines on normal lattices.- Bivariate approximation procedures.- Construction and applications of Hermite interpolating quadratic spline functions of two and three variables.- Hermite-Fejér and higher Hermite-Fejér interpolation with boundary conditions.- Some uniqueness problems in best Chebyshev and mean multivariate approximation.- Minimal projections in tensor product spaces.- Convergence of Hermite-Fejér interpolation via Korovkin’s theorem.- Cubature error bounds using degrees of approximation.- Square functions in the theory of Cesaro summability of double orthogonal series.- Generalized Melkes interpolation.- Approximation theory and analysis of spectral methods.- On multivariate polynomial L1-approximation to zero and related coefficient inequalities.- Abschatzungen von Lagrange-Quadratsummen für die Sphäre mit Hilfe gewisser Eigenwerte.- On Gabor information cells.- Ein Beitrag zur Flachenapproximation über unregelmäßig vertei lten Daten.- The basis and moment problems of some systems of analytic functions.- Normen von Projektionen in mehreren Veranderlichen.- The solution of generalized least squares problems.

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