11 citations · 34 across the 21 of their papers we have counts for
22 papers
A note on the Kolmogorov-type inequalities for more than three norms
Oleg Kovalenko
In this note we show that sharp Kolmogorov-type inequalities that estimate the uniform norm of the -th derivative of a function b…
Ostrowski-type inequalities in abstract distance spaces
Vladyslav Babenko, Vira Babenko, Oleg Kovalenko
For non-empty sets X we define notions of distance and pseudo metric with values in a partially ordered set that has a smallest element . If is a distance in (respecti…
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…