Constructive Theory of Functions of Several Variables
Constructive Theory of Functions of Several Variables Proceedings of a Conference Held at Oberwolfach April 25 – May 1, 1976 / [electronic resource] :
edited by Walter Schempp, Karl Zeller.
- VI, 294 p. online resource.
- Lecture Notes in Mathematics, 571 0075-8434 ; .
- Lecture Notes in Mathematics, 571 .
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.
9783540374961
10.1007/BFb0086559 doi
Functional analysis.
Mathematics.
Functional Analysis.
Mathematics, general.
QA319-329.9
515.7
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.
9783540374961
10.1007/BFb0086559 doi
Functional analysis.
Mathematics.
Functional Analysis.
Mathematics, general.
QA319-329.9
515.7