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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…