1 citations · 3 across the 7 of their papers we have counts for
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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…