Sampling of Paley-Wiener Functions on Stratified Groups.
Schwach verkoppelte Ungleichungssysteme und konvexe Spline-Interpolation.
Semiorthogonal linear prewavelets on irregular meshes
We extend results on constructing semiorthogonal linear spline prewavelet systems in one and two dimensions to the case of irregular dyadic refinement. In the one-dimensional case, we obtain sharp two-sided inequalities for the -condition, 1 < p < ∞, of such systems.
Shape preserving rational cubic interpolation.
Smooth approximation spaces based on a periodic system
A way of data approximation called smooth was introduced by Talmi and Gilat in 1977. Such an approach employs a (possibly infinite) linear combination of smooth basis functions with coefficients obtained as the unique solution of a minimization problem. While the minimization guarantees the smoothness of the approximant and its derivatives, the constraints represent the interpolating or smoothing conditions at nodes. In the contribution, a special attention is paid to the periodic basis system ....
Smooth fractal interpolation.
Smoothing by Spline Functions.
Smoothing by Spline Functions. II.
Smoothing Noisy Data Under Monotonicity Constraints Existence, Characterization and Convergence Rates.
Smoothing Noisy Data with Spline Functions. Estimating the Correct Degree of Smoothing by the Method of Generalized Cross-Validation.
Some algorithm for computing local parameters of quartic interpolatory splines
Some algorithm for testing convexity of histogram
Some algorithms for quartic smoothing splines
Some footprints of Marcinkiewicz in summability theory
Four basic results of Marcinkiewicz are presented in summability theory. We show that setting out from these theorems many mathematicians have reached several nice results for trigonometric, Walsh- and Ciesielski-Fourier series.
Some properties of interpolating quadratic spline
Some properties of the interpolating spline-functions space
Some results on 2-inner product spaces.
Spherical splines
Spline Approximant in Hilbertian Subspaces of ...(...).
Spline approximation and Besov spaces on compact manifolds