11 citations · 34 across the 21 of their papers we have counts for
3 papers · 1 filter
Kolmogorov's problem for completely and multiply monotone functions and the Markov moment problem
Vladyslav Babenko, Yuliya Babenko, Oleg Kovalenko
In this paper, we present the solution to Kolmogorov's problem for the classes of multiply monotone and completely monotone functions together with its connections to the Markov mo…
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…