1 citations · 1 across the 6 of their papers we have counts for
6 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…
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…
Estimation of wavelet coefficients on some classes of functions
Vladislav Babenko, Susanna Spektor
Let be orthogonal Daubechies wavelets that have m zero moments and let We prove that $$ \lim_{m \…
Approximation of some classes of set-valued periodic functions by generalized trigonometric polynomials
V. F. Babenko, V. V. Babenko, M. V. Polischuk
Generalizations of some known results on the best, best linear and best one-sided approxima- tions by trigonometric polynomials of the classes of 2π- periodic functions presented i…
On interpolation and extremal properties of periodic perfect splines
V. F. Babenko, O. V. Kovalenko
Existing and extremal property of periodic perfect spline, which interpolates given function in the mean were proved.
On Optimal Recovery of Integrals of Set-Valued Functions
V. F. Babenko, V. V. Babenko, M. V. Polischuk
In this paper we consider the problem of optimization of approximate integration of set-valued functions from the class defined by given majorant of their moduli of continuity, usi…