3 papers
math.FA2017
Inequalities of Jackson-Stechkin type for elements of Hilbert space (in Russian)
Vladyslav Babenko, Svitlana Konareva
In this paper we introduced a new characteristics of the elements of a Hilbert space - generalized moduli of continuity and obtain new exact inequalities of…
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
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…