Lecture Notes in Mathematics

Proceedings of a Conference Held at Oberwolfach, April 25 - May 1, 1976

By: W. Schempp (Editor), K. Zeller (Editor)

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Paperback | 1 March 1977

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300 Pages

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Zur numerischen Integration uber 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.

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