Constructive Theory of Functions of Several Variables: Proceedings of a Conference Held at Oberwolfach April 25 – May 1, 1976

Prof. Dr. J. Albrecht, Prof. Dr. H. Engels (auth.), Prof. Dr. Walter Schempp, Prof. Dr. Karl Zeller (eds.)9780387080697, 0-387-08069-4

Table of contents :
Zur numerischen Integration über Kreisbereichen….Pages 1-5
Stability of Steiner points….Pages 6-13
Blending interpolation schemes on triangles with error bounds….Pages 14-37
Comparison theorems for generalized moduli of continuity. Vector-valued measures….Pages 38-52
N-th order blending….Pages 53-64
On summation processes of Fourier expansions for spherical functions….Pages 65-84
Splines minimizing rotation-invariant semi-norms in Sobolev spaces….Pages 85-100
On multivariate approximation by continuous linear operators….Pages 101-108
A note on numerical Fourier analysis and uniform approximation on cubes….Pages 109-118
On the equivalence of the K-functional and moduli of continuity and some applications….Pages 119-140
Harmonics and spherical functions on Grassmann manifolds of rank two and two-variable analogues of Jacobi polynomials….Pages 141-154
Hermite interpolation in several variables using ideal-theoretic methods….Pages 155-163
On the numerical analytic continuation of power series….Pages 164-175
Clenshaw sums in several variables….Pages 176-185
Function spaces for analysis….Pages 186-195
Error bounds for bivariate spline interpolation….Pages 196-211
Bernstein polynomials in several variables….Pages 212-219
Approximation in G-homogeneous Banach spaces….Pages 220-225
Interpolation of harmonic functions….Pages 226-249
Convergence almost everywhere of convolution integrals with a dilation parameter….Pages 250-266
Use of Biermann’s interpolation formula for constructing a class of positive linear operators for approximating multivariate functions….Pages 267-276
Estimates for moduli of continuity of functions given by their Fourier transform….Pages 277-288