ON THE BEST APPROXIMATION OF THE DIFFERENTIATION OPERATOR

ON THE BEST APPROXIMATION OF THE DIFFERENTIATION OPERATOR

In this paper we give a solution of the problem of the best approximation in the uniform norm of the differentiation operator of order k by bounded linear operators in the class of functions with the property that the Fourier transforms of their derivatives of order n (0 < k <n) are finite mea...

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Bibliographic Details
Main Author: Vitalii V. Arestov
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2015-11-01
Series:Ural Mathematical Journal
Subjects:
Differentiation operator
Stechkin's problem
Kolmogorov inequality
Online Access:https://umjuran.ru/index.php/umj/article/view/34
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