11 citations · 19 across the 5 of their papers we have counts for
5 papers
On some sharp Landau--Kolmogorov--Nagy type inequalities in Sobolev spaces of multivariate functions
V. F. Babenko, V. V. Babenko, O. V. Kovalenko +1
For a function from the Sobolev space ( is an open convex cone), a sharp inequality that estimates via the -norm…
Nagy type inequalities in metric measure spaces and some applications
Vladyslav Babenko, Vira Babenko, Oleg Kovalenko +1
We obtain a sharp Nagy type inequality in a metric space with measure that estimates the uniform norm of a function using its -- norm determined by a…
On Landau -- Kolmogorov type inequalities for charges and their applications
Vladyslav Babenko, Vira Babenko, Oleg Kovalenko +1
In this article we prove sharp Landau--Kolmogorov type inequalities on a class of charges defined on Lebesgue measurable subsets of a cone in , , that are ab…
On approximation of hypersingular integral operators by bounded ones
Vladyslav Babenko, Oleg Kovalenko, Nataliia Parfinovych
We solve the Stechkin problem about approximation of generally speaking unbounded hypersingular integral operators by bounded ones. As a part of the proof, we also solve several re…
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…