4 papers · 1 filter
Numerical differentiation of functions on the half-line in a weighted uniform metric
S. G. Solodky, Y. A. Volynets
We consider the problem of numerical differentiation of functions defined on the half-line: the derivative , , is recovered from a finite set of perturbed F…
Regularized summation of Fourier-Laguerre series in the weighted sup-norm
S. G. Solodky, Y. A. Volynets
We consider the problem of recovering functions defined on the half-line from inexact input information. For the proposed regularizing summation methods based on Laguerre polynomia…
On recovering the Radon-Nikodym derivative under the big data assumption
Hanna Myleiko, Sergei Solodky
The present paper is focused on the problem of recovering the Radon-Nikodym derivative under the big data assumption. To address the above problem, we design an algorithm that is a…
On optimal recovery of unbounded operators from inaccurate data
Oleg Davydov, Sergei Solodky
The problems of optimal recovery of unbounded operators are studied. Optimality means the highest possible accuracy and the minimal amount of discrete information involved. It is e…