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math.NA2026
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…
math.NA2025
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…
math.NA2025
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…