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 2013Show all

3 papers · 1 filter

math.FA2013

Comparison theorems and some of their applications

Vladyslav Babenko, Oleg Kovalenko

Analogues of Kolmogorov comparison theorems and some of their applications were established.

math.FA2013★ 1 cited

On dependence between the norm of a function and norms of its derivatives of orders k, r - 2 and r, 0 < k < r - 2

Vladyslav Babenko, Oleg Kovalenko

Necessary and sufficient conditions on the system of positive numbers $M_{k_{1}}, M_{k_{2}}, M_{k_{3}}, M_{k_{4}}$ , $0 = k_{1} < k_{2} < k_{3} = r - 2$ , $k_{4} = r$ , which guarantee the existence of a fun…

math.FA2013

Kolmogorov's Problem on the Class of Multiply Monotone Functions

Vladyslav Babenko, Yuliya Babenko, Oleg Kovalenko

In this paper we give necessary and sufficient conditions for the system of positive numbers $M_{k_{1}}, M_{k_{2}}, ..., M_{k_{d}},$ $0 \leq k_{1} < ... < k_{d} \leq r$ , to guarantee the ex…