Constructive Theory of Functions of Several Variables

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