7 citations · 10 across the 13 of their papers we have counts for
15 papers
On the Hardy-Littlewood-Pólya and Taikov type inequalities for multiple operators in Hilbert spaces
Vladislav Babenko, Yuliya Babenko, Nadiia Kriachko +1
We present unified approach to obtain sharp mean-squared and multiplicative inequalities of Hardy-Littlewood-Polyá and Taikov types for multiple closed operators acting on Hilbert…
Stechkin's problem for functions of a self-adjoint operator in a Hilbert space, Taikov-type inequalities and their applications
Vladyslav Babenko, Yuliya Babenko, Nadiia Kriachko
In this paper we solve the problem of approximating functionals (where is some function of self-adjoint operator ) on the class of elements of a Hilbert spac…
Inequalities of Hardy-Littlewood-Polya type for functions of operators and their applications
Vladyslav Babenko, Yuliya Babenko, Nadiia Kriachko
In this paper, we derive a generalized multiplicative Hardy-Littlewood-Polya type inequality, as well as several related additive inequalities, for functions of operators in Hilber…
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…
Optimal recovery of integral operators and its applications
Vladyslav Babenko, Yuliya Babenko, Nataliia Parfinovych +1
In this paper we present the solution to the problem of recovering rather arbitrary integral operator based on incomplete information with error. We apply the main result to obtain…
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…