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Constructive Theory of Functions of Several Variables [electronic resource] : Proceedings of a Conference Held at Oberwolfach April 25 – May 1, 1976 / edited by Walter Schempp, Karl Zeller.

Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 571Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1977Description: VI, 294 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540374961
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 515.7 23
LOC classification:
  • QA319-329.9
Online resources:
Contents:
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.
In: Springer eBooks
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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.

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