Dual algorithms for convex approximations of histograms using cubic C¹-splines
Efficient L2 Approximation by Splines.
Eigenvalues of Integral Operators. II.
Eine Aussage zur L...-Stabilität und zur genauen Konvergenzordnung der H...-Projektionen.
Equivalence, unconditionality and convergence a.e. of the spline bases in spaces
Error bounds for eigenvalues and eigenfunctions of some ordinary differential operators by the method of least squares
Error Bounds for the Approximation of Green's Kernels by Splines.
Error bounds for two even degree tridiagonal splines.
Error estimate for quadratic spline interpolating the first derivatives
Error Estimates for Spline Interpolants on Equidistant Grids.
Estimates, Decay Properties, Computation of the Dual Function for Gabor Frames.
Estimates for spline projections
Estimations de l'erreur d'approximation par splines d'interpolation et d'ajustement d'ordre (m, s).
Estimations de l'erreur d'approximation sur un domaine borné de Rn par Dm-splines d'interpolation et d'ajustement discrètes.
Étude de la convergence du produit tensoriel de fonctions spline à une variable satisfaisant à des conditions d'interpolation de Lagrange
Étude et convergence de fonctions «spline» complexes
Extending n-convex functions
We are given data α₁,..., αₘ and a set of points E = x₁,...,xₘ. We address the question of conditions ensuring the existence of a function f satisfying the interpolation conditions , i = 1,...,m, that is also n-convex on a set properly containing E. We consider both one-point extensions of E, and extensions to all of ℝ. We also determine bounds on the n-convex functions satisfying the above interpolation conditions.
Fast evaluation of thin-plate splines on fine square grids
The paper deals with effective calculation of Thin-Plate Splines (TPS). We present a new modification of hierarchical approximation scheme. Unlike 2-D schemes published earlier, we propose an 1-D approximation. The new method yields lower computing complexity while it preserves the approximation accuracy.
Fitting scattered data on spherelike surfaces using tensor products of trigonometric and polynomial splines.
Fonctions spline par moyennes locales sur un ouvert borné de