Multivariate Approximation Theory II -

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Résumé :
Some remarks on product approximations.- Approximation theory on a snowflake.- Estimates and bounds for the doubly perturbed eigenvalue problem.- Remarks on reduced Hermite interpolation.- Ein Beispiel zur Theorie der besten Approximation.- On spaces of piecewise polynomials with boundary conditions. I. Rectangles.- Some remarks on multivariate B-splines.- On discrete trivariate blending interpolation.- On precision sets of interpolation projectors.- Which closed convex subsets of an inner product space are Chebyshev?.- Interpolation methods for numerical analytic continuation.- Blending-Splines auf Dreiecksnetzen.- Remainder terms in numerical integration formulas of the sphere.- A generalized Sylvester's identity on determinants and its applications to interpolation problems.- Biorthogonality in approximation.- Cubature remainder and biorthogonal systems.- Product approximation: Error estimates.- A Lagrangian method for multivariate continuous Chebyshev approximation problems.- Construction of surfaces of class &k on a domain ? C ?2, after triangulation.- Minimal projections and near-best approximations by multivariate polynomial expansion and interpolation.- Sharp a priori error bounds for polynomial approximation in Sobolev spaces.- An immediate construction of numerical integration and differentiation formulae.- On the approximation by multiple orthogonal series.- Quantitative theorems on approximation processes of positive linear operators.- Some relationships between surface splines and Kriging.- A view of mathematics.- Drei statt einer reellen Variablen?.- Eine Methode zur Konstruktion von c1-Fl?chen zur Interpolation unregelm?ssig verteilter Daten.- Approximation theory and domain of dependence for P.D.E. of hyperbolic type.- Properties ofspline projections.- A survey of recent results on approximation theory in China.- Vector splines on the sphere, with application to the estimation of vorticity and divergence from discrete, noisy data....

Sommaire:
Some remarks on product approximations.- Approximation theory on a snowflake.- Estimates and bounds for the doubly perturbed eigenvalue problem.- Remarks on reduced Hermite interpolation.- Ein Beispiel zur Theorie der besten Approximation.- On spaces of piecewise polynomials with boundary conditions. I. Rectangles.- Some remarks on multivariate B-splines.- On discrete trivariate blending interpolation.- On precision sets of interpolation projectors.- Which closed convex subsets of an inner product space are Chebyshev?.- Interpolation methods for numerical analytic continuation.- Blending-Splines auf Dreiecksnetzen.- Remainder terms in numerical integration formulas of the sphere.- A generalized Sylvester?s identity on determinants and its applications to interpolation problems.- Biorthogonality in approximation.- Cubature remainder and biorthogonal systems.- Product approximation: Error estimates.- A Lagrangian method for multivariate continuous Chebyshev approximation problems.- Construction of surfaces of class &k on a domain ? C ?2, after triangulation.- Minimal projections and near-best approximations by multivariate polynomial expansion and interpolation.- Sharp ?a priori? error bounds for polynomial approximation in Sobolev spaces.- An immediate construction of numerical integration and differentiation formulae.- On the approximation by multiple orthogonal series.- Quantitative theorems on approximation processes of positive linear operators.- Some relationships between surface splines and Kriging.- A view of mathematics.- Drei statt einer reellen Variablen?.- Eine Methode zur Konstruktion von c1-Fl?chen zur Interpolation unregelm?ssig verteilter Daten.- Approximation theory and ?domain of dependence? for P.D.E. of hyperbolic type.- Properties of spline projections.- A survey of recent results on approximation theory in China.- Vector splines on the sphere, with application to the estimation of vorticity and divergence from discrete, noisy data.