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

ISBN-13: 9783540080695 / Angielski / Miękka / 1977 / 294 str.

W. Schempp; K. Zeller

Spis treści

Zur numerischen Integration über Kreisbereichen.- Stability of Steiner points.- Blending interpolation schemes on triangles with error bounds.- Comparison theorems for generalized moduli of continuity. Vector-valued measures.- N-th order blending.- On summation processes of Fourier expansions for spherical functions.- Splines minimizing rotation-invariant semi-norms in Sobolev spaces.- On multivariate approximation by continuous linear operators.- A note on numerical Fourier analysis and uniform approximation on cubes.- On the equivalence of the K-functional and moduli of continuity and some applications.- Harmonics and spherical functions on Grassmann manifolds of rank two and two-variable analogues of Jacobi polynomials.- Hermite interpolation in several variables using ideal-theoretic methods.- On the numerical analytic continuation of power series.- Clenshaw sums in several variables.- Function spaces for analysis.- Error bounds for bivariate spline interpolation.- Bernstein polynomials in several variables.- Approximation in G-homogeneous Banach spaces.- Interpolation of harmonic functions.- Convergence almost everywhere of convolution integrals with a dilation parameter.- Use of Biermann's interpolation formula for constructing a class of positive linear operators for approximating multivariate functions.- Estimates for moduli of continuity of functions given by their Fourier transform.