O. Kovalenko

activity

20132026

most citedOn approximation of hypersingular integral operators by bounded ones

11 citations · 34 across the 21 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

math.FA2014★ 1 cited

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 $k$ , $k \in N$ , on the classes of functions defined on half-line that have positive…

math.FA2014★ 1 cited

Kolmogorov problem on the class of multiply monotone functions

Oleg Kovalenko

Necessary and sufficient conditions for positive numbers $M_{k_{1}}, M_{k_{2}}, M_{k_{3}}, M_{k_{4}}$ , $0 = k_{1} < k_{2} < k_{2} \leq r - 2$ , $k_{4} = r$ , to guarantee the existence of an $r - 1$ -monotone…