Restricted range simultaneous approximation and interpolation with preservation of the norm
Results on spline-Fourier and Ciesielski-Fourier series
Some recent results on spline-Fourier and Ciesielski-Fourier series are summarized. The convergence of spline Fourier series and the basis properties of the spline systems are considered. Some classical topics, that are well known for trigonometric and Walsh-Fourier series, are investigated for Ciesielski-Fourier series, such as inequalities for the Fourier coefficients, convergence a.e. and in norm, Fejér and θ-summability, strong summability and multipliers. The connection between Fourier series...
Résurgence quantique
Reverse Markov inequality.
Riesz's lattices and almost positive operators.
Ritz-Galerkin Approximations in Blending Function Spaces.
Rozvoj analytické funkce v „Taylorovu‟ řadu s proměnným středem
S. N. Bernstein type estimations in the mean on the curves in a complex plane.
Sampling and interpolation in the Paley-Wiener spaces Lπp, 0 < p ≤ 1.
Following Beurling's ideas concerning sampling and interpolation in the Paley-Wiener space Lτ∞, we find necessary and sufficient density conditions for sets of sampling and interpolation in the Paley-Wiener spaces Lτp for 0 < p ≤ 1.
Sampling of Band-Limited Vectors.
Sampling of Paley-Wiener Functions on Stratified Groups.
Sard's approximation processes and oblique projections
Three problems arising in approximation theory are studied. These problems have already been studied by Arthur Sard. The main goal of this paper is to use geometrical compatibility theory to extend Sard's results and get characterizations of the sets of solutions.
S-asymptotic expansion of distribution.
Saturation auf kompakten Gruppen und kompakten symmetrischen Räumen.
Saturation for Farvard operators in weighted function spaces
Saturation on Locally Compact Abelian Groups.
Saturation on Locally Compact Abelian Groups: An Extended Theorem.
Saturation theorem for the combinations of modified Beta operators in -spaces.
Schauder bases and best approximation
Schauder decomposition and best approximation in Banach Spaces