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math.FA2020★ 1 cited
Korneichuk-Stechkin Lemma, Ostrowski and Landau inequalities, and optimal recovery problems for -space Valued Functions
Vladyslav Babenko, Vira Babenko, Oleg Kovalenko
We prove an analogue of the Korneichuk--Stechkin lemma for functions with values in -spaces. As applications, we obtain sharp Ostrowski type inequalities and solve problems of o…
math.FA2020★ 5 cited
On optimal recovery of integrals of random processes
Oleg Kovalenko
In this paper we prove a sharp Ostrowski type inequality for random processes of certain classes. This inequality is later applied to a solution of the optimal recovery of the inte…