Spline approximation and generalized Turán quadratures.
Spline approximation in , p≤ 1
Spline Approximations to Spherically Symmetric Distributions.
Spline bases in classical function spaces on compact manifolds, Part II
Spline bases in classical function spaces on compact manifolds, Part I
Spline coalescence hidden variable fractal interpolation functions.
Spline functions and total positivity.
In this survey we show the close connection between the theory of Spline Functions and that of Total Positivity. In the last section we mention some recent results on totally positive bases which are optimal for shape preserving properties in Computer Aided Geometric Design.
Spline prewavelets for non-uniform knots.
Spline quasi-interpolants and quadrature formulas.
Spline recurrences for quartic splines
Spline Representations of Functions in Besov-Triebel-Lizorkin Spaces on Rn.
Spline solutions for nonlinear two point boundary value problems.
Spline Subdivision Schemes for Compact Sets. A Survey
Dedicated to the memory of our colleague Vasil Popov January 14, 1942 – May 31, 1990 * Partially supported by ISF-Center of Excellence, and by The Hermann Minkowski Center for Geometry at Tel Aviv University, IsraelAttempts at extending spline subdivision schemes to operate on compact sets are reviewed. The aim is to develop a procedure for approximating a set-valued function with compact images from a finite set of its samples. This is motivated by the problem of reconstructing a 3D object from...
Splineapproximationen von beliebigem Defekt zur numerischen Lösung gewöhnlicher Differentialgleichungen. Teil II.
Splineapproximationen von beliebigen Defekt zur numerischen Lösung gewöhnlicher Differentialgleichungen. Teil III.
Splines and pseudo-inverses
Stable multiresolution analysis on triangles for surface compression.
Statistical estimates for generalized splines
In this paper it is shown that the generalized smoothing spline obtained by solving an optimal control problem for a linear control system converges to a deterministic curve even when the data points are perturbed by random noise. We furthermore show that such a spline acts as a filter for white noise. Examples are constructed that support the practical usefulness of the method as well as gives some hints as to the speed of convergence.
Statistical Estimates for Generalized Splines
In this paper it is shown that the generalized smoothing spline obtained by solving an optimal control problem for a linear control system converges to a deterministic curve even when the data points are perturbed by random noise. We furthermore show that such a spline acts as a filter for white noise. Examples are constructed that support the practical usefulness of the method as well as gives some hints as to the speed of convergence.
Strong summability of Ciesielski-Fourier series
A strong summability result is proved for the Ciesielski-Fourier series of integrable functions. It is also shown that the strong maximal operator is of weak type (1,1).