Constructive Theory of Functions of Several Variables: Proceedings of a Conference Held at Oberwolfach April 25 – May 1, 1976 [1 ed.]
9780387080697, 0-387-08069-4 [DJVU]
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