3 papers
math.FA2020
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…
math.FA2017
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…
math.FA2015
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…