1 citations · 3 across the 7 of their papers we have counts for
8 papers
Inequalities similar to those of Bernstein for non-periodic splines in space
Vladislav Babenko, Susanna Spektor
We prove Inequalities similar to those of Bernstein for non-periodic splines in space.
Optimal recovery problems on the classes that are determined by restrictions on several higher derivatives of the functions
Vladislav F. Babenko, Oleg V. Kovalenko
Optimal approximation and optimal interpolation problems on the classes of periodic functions that are determined by restrictions on several higher derivatives of the functions are…
On modulus of continuity of differentiation operator on weighted Sobolev classes
Vladyslav Babenko, Oleh Kovalenko
In this paper we investigate the modulus of continuity of differential operator of order , , on the classes of functions defined on half-line that have positive…
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…
On One Problem of Optimization of Approximate Integration
V. F. Babenko
It is proved that interval quadrature formula of the form ($c_k\in \RR, \, x_1+h<x_2-h<x_2+h<...<x_n-h…
Sharp Estimates for Norms of Functions from Conjugate Classes in Metrics C and L
Vladislav Babenko
Sharp estimates for C - and L - norms of functions that are conjugate with functions from the classes W^rH_ωof periodic functions having prescribed concave majorant of moduli of co…