11 citations · 34 across the 21 of their papers we have counts for
5 papers · 2 filters
On optimization of cubature formulae for Sobolev classes of functions defined on star domains
Oleg Kovalenko
We find asymptotically optimal methods of recovery of the integration operator given values of the function at a finite number of points for a class of multivariate functions defin…
On a general approach to some problems of approximation of operators
Oleg Kovalenko
In the article we propose a general scheme for solutions of some approximation problems under a rather general setting. We illustrate the application of the proposed scheme by a se…
On discretization of some extremal problems
Oleg Kovalenko
We solve two continuous extremal problems on the classes of monotone functions: in the first problem we find extremal values for a line integral of a coordinate-wise monotone funct…
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…