5 citations · 7 across the 4 of their papers we have counts for
4 papers · 1 filter
Fixed Point Theorems in M-distance Spaces
Vladyslav Babenko, Vira Babenko, Oleg Kovalenko
We prove fixed point theorems in a space with a distance function that takes values in a partially ordered monoid. On the one hand, such an approach allows one to generalize some f…
On optimal recovery of integrals of random processes
Oleg Kovalenko
In this paper we prove a sharp Ostrowski type inequality for random processes of certain classes. This inequality is later applied to a solution of the optimal recovery of the inte…
Kolmogorov problem on classes of absolute monotone and multiple monotone functions and its connection with Markov moment problem
Vladyslav Babenko, Yuliya Babenko, Oleg Kovalenko
In this paper we solve Kolmogorov problem about existence of a function with given norms of derivatives for classes of multiple monotone functions and absolute monotone functions i…
Optimal recovery problems on the classes that are determined by restrictions on several higher derivatives of the functions
Vladislav F. Babenko, Oleg V. Kovalenko
Optimal approximation and optimal interpolation problems on the classes of periodic functions that are determined by restrictions on several higher derivatives of the functions are…