3 papers
math.NA2024
Optimal recovery of linear operators from information of random functions
K. Yu. Osipenko
The paper concerns problems of the recovery of linear operators defined on sets of functions from information of these functions given with stochastic errors. The constructed optim…
math.NA2024
Recovery of differential operators from a noisy Fourier transform
Konstantin Yu. Osipenko
The paper concerns problems of the recovery of differential operators from a noisy Fourier transform. In particular, optimal methods are obtained for the recovery of powers of gene…
math.NA2023
Optimal recovery and generalized Carlson inequality for weights with symmetry properties
K. Yu. Osipenko
The paper concerns problems of the recovery of operators from noisy information in weighted -spaces with homogeneous weights. A number of general theorems are proved and appli…