Approximation by linear methods of classes of $(\psi,\bar\beta)-$differentiable functions.

We calculate the least upper bounds for approximations in the metric of the space $L_2$ by linear methods of summation of Fourier series on classes of periodic functions $L^\psi_{\bar\beta,1}$ defined by sequences of multipliers $\psi=\psi(k)$ and shifts of argument $\bar\beta=\beta_k$

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Bibliographic Details
Date:2013
Main Authors: Serdyuk, A. S., Sokolenko, I. V., Сердюк, А. С., Соколенко, І. В.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2013
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/183
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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