Multivariate Approximation Theory III -

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Résumé :
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Sommaire:
Zur Tagung.- List of Participants.- Program of the Sessions.- L. Bamberger: Interpolation in bivariate spline spaces.- n-th order polynomial spline blending.- The limits of multivariate cardinal splines.- Local smoothing for scattered and noisy data.- Convexity and variation diminishing property of Bernstein polynomials over triangles.- The dimensions of bivariate spline spaces over triangulations.- On bivariate vertex splines.- Biorthogonal system of polynomials on the standard simplex.- Anwendung der Approximationstheorie auf gewisse singulare Randwertaufgaben.- Combinatorial aspects of multivariate splines.- Intermediate blending interpolation.- Hermite-interpolation in N variables and minimal cubature formulae.- Some reflections on multi-dimensional Euler and Poisson summation formulas.- On the dimension of the spline space S 21(D) in special cases.- Degree of best approximation by blending functions.- Shape preserving approximation by polyhedral splines.- Numerical realization of boundary collocation methods.- Interpolation by polynomials and natural splines on normal lattices.- Bivariate approximation procedures.- Construction and applications of Hermite interpolating quadratic spline functions of two and three variables.- Hermite-Fej?r and higher Hermite-Fej?r interpolation with boundary conditions.- Some uniqueness problems in best Chebyshev and mean multivariate approximation.- Minimal projections in tensor product spaces.- Convergence of Hermite-Fej?r interpolation via Korovkin?s theorem.- Cubature error bounds using degrees of approximation.- Square functions in the theory of Cesaro summability of double orthogonal series.- Generalized Melkes interpolation.- Approximation theory and analysis of spectral methods.- On multivariate polynomial L1-approximation to zero and related coefficient inequalities.- Abschatzungen von Lagrange-Quadratsummen f?r die Sph?re mit Hilfe gewisser Eigenwerte.- On Gabor information cells.- Ein Beitrag zur Flachenapproximation ?ber unregelm??ig vertei lten Daten.- The basis and moment problems of some systems of analytic functions.- Normen von Projektionen in mehreren Veranderlichen.- The solution of generalized least squares problems.