Constructive Theory of Functions of Several Variables
Proceedings of a Conference Held at Oberwolfach, April 25 - May 1, 1976
Published on 1. March 1977
Book
Paperback/Softback
VI, 294 pages
978-3-540-08069-5 (ISBN)
Description
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.
More details
Series
Edition
1977 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VI, 294 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 17 mm
Weight
464 gr
ISBN-13
978-3-540-08069-5 (9783540080695)
DOI
10.1007/BFb0086559
Schweitzer Classification
Content
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.