Best orthogonal trigonometric approximations of functions from classes $L_{\beta,1}^\psi$

We obtain the exact order estimates of the best orthogonal trigonometric approximations of periodic functions that are analogues of the Bernoulli kernels and functions of the classes $L_{\beta, 1}^\psi$ in the space $L_q$, $1< q<\infty$

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Bibliographic Details
Date:2014
Main Authors: Shkapa, V. V., Шкапа, В. В.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2014
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/83
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine