On the approximation of conjugate functions and their derivatives on the segment by partial sums of Fourier – Chebyshev series

In this paper, we study the approximation of conjugate functions with the density f є H (α)[–1, 1], α є (0, 1], on the segment [–1, 1], by the conjugate Fourier – Chebyshev series. We establish the order estimations of the approximation depending on the location of a point on the segment. It is note...

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Bibliographic Details
Main Authors: Павел Геннадьевич Поцейко, Евгений Алексеевич Ровба, Константин Анатольевич Смотрицкий
Format: Article
Language:Belarusian
Published: Belarusian State University 2024-07-01
Series:Журнал Белорусского государственного университета: Математика, информатика
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Online Access:https://journals.bsu.by/index.php/mathematics/article/view/5231
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