2 citations · 3 across the 8 of their papers we have counts for
9 papers
Optimal recovery of operator sequences
V. F. Babenko, N. V. Parfinovych, D. S. Skorokhodov
In this paper we consider two recovery problems based on information given with an error. First is the problem of optimal recovery of the class $W^T_q = \{(t_1h_1,t_2h_2,\ldots)\in…
The Landau-Kolmogorov Problem on a Finite Interval in the Taikov Case
Dmytro Skorokhodov
We solve the pointwise Landau-Kolmogorov problem on the interval on finding under constraints and $\lef…
On the Hardy-Littlewood-Pólya and Taikov type inequalities for multiple operators in Hilbert spaces
Vladislav Babenko, Yuliya Babenko, Nadiia Kriachko +1
We present unified approach to obtain sharp mean-squared and multiplicative inequalities of Hardy-Littlewood-Polyá and Taikov types for multiple closed operators acting on Hilbert…
Optimal approximation order of piecewise constants on convex partitions
Oleg Davydov, Oleksandr Kozynenko, Dmytro Skorokhodov
We prove that the error of the best nonlinear -approximation by piecewise constants on convex partitions is , where the number of…
Optimal recovery of integral operators and its applications
Vladyslav Babenko, Yuliya Babenko, Nataliia Parfinovych +1
In this paper we present the solution to the problem of recovering rather arbitrary integral operator based on incomplete information with error. We apply the main result to obtain…
Kolmogorov type inequalities for the Marchaud fractional derivatives on the real line and the half-line
V. F. Babenko, M. S. Churilova, N. V. Parfinovych +1
In this paper we establish some new Kolmogorov type inequalities for the Marchaud and Hadamard fractional derivatives of functions defined on a real axis or semi-axis. Simultaneous…