On the nonsymmetric approximation of continuous functions in the integral metric

In the paper, an exact estimate of the best nonsymmetric approximation in the integral metric by the constants of continuous functions that belong to the classes $H^\omega[a,b]$ is proved. Taking into account Babenko's theorem on the connection of nonsymmetric approximation with the usual bes...

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Bibliographic Details
Main Authors: V.F. Babenko, O.V. Polyakov
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2020-01-01
Series:Researches in Mathematics
Subjects:
Online Access:https://vestnmath.dnu.dp.ua/index.php/rim/article/view/117