3 papers
math.NA2025
Exact inequalities and optimal recovery by inaccurate information
K. Yu. Osipenko
The paper considers a multidimensional problem of optimal recovery of an operator whose action is represented by multiplying the original function by a weight function of a special…
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…