Multivariate Approximation Theory: Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach Black Forest, February 4–10, 1979

Front Matter....Pages 1-10
Boolean Methods in Bivariate Reduced Hermite Interpolation....Pages 11-29
Asymptotic Expansions for the Discretization Error In Poisson’s Equation on General Domains....Pages 30-45
Die Anwendung Eines Verallgemeinerten Korovkin-Satzes auf die Konvergenz Gewisser Differenzen-Verfahren....Pages 46-56
Integral Representation of Interpolation Error....Pages 57-63
Multivariate B-Splines — Recurrence Relations and Linear Combinations of Truncated Powers....Pages 64-82
The Alternating Method von Neumann....Pages 83-96
Symmetrization Formulas and Norm Estimates of Projections in Multivariate Polynomial Approximation....Pages 97-110
Über Kubaturformeln bei Unregelmäßig Berandetem Gebiet....Pages 111-128
Optimal Cubature Over a Bounded Plane Region....Pages 129-136
On a Multivariate Rolle Type Theorem and the Interpolation Remainder Formula....Pages 137-145
Interpolation and Approximation by Piecewise Quadratic C 1 — Functions of Two Variables....Pages 146-161
On an Interpolation Problem for Functions of Several Variables and Spline Functions....Pages 162-197
A Convolution Approach to Multivariate Representation Formulas....Pages 198-210
On a numerically efficient method for computing multivariate B-splines....Pages 211-248
The Construction of Cubature Formulae and Ideals of Principal Classes....Pages 249-264
On Certain Approximations of Vector-Valued Functions....Pages 265-271
On the Solution of Linear Integrodifferential Equations with Degenerate Kernels....Pages 272-288
Best Approximations to Polynomials in the Mean and Norms of Coefficient-Functionals....Pages 289-304
Multivariate Splines....Pages 305-325
Interpolation Zonaler Harmonischer Funktionen....Pages 326-339
Infinite Equations in Constructive Analysis....Pages 340-345
Two-Dimensional Grids for Polynomials....Pages 346-352
Spline Functions and Gaussian Processes (Multidimensional Case)....Pages 353-358
Construction of Cubature Formulae Using Real Ideals....Pages 359-377
Die Algebra der Bernsteinoperatoren und Symmetrische Funktionen....Pages 378-395
On the Dimension of Spaces Of Piecewise Polynomials in Two Variables....Pages 396-412
On the Exact Degree of Approximation of Bernstein Operators on C([0,1] 2 )....Pages 413-435
Eine Projektionsmethode für das Biharmonische Problem....Pages 436-455