Order estimates for the best approximation and approximation by Fourier sums of classes of infinitely differentiable functions

We obtained order estimations for the best uniform approximation by trigonometric polynomials and approximation by Fourier sums of classes of $2\pi$-periodic continuous functions, whose $(\psi,\beta)$--derivatives $f_{\beta}^{\psi}$ belong to unit balls of spaces $L_{p}, \ 1\leq p&a...

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Bibliographic Details
Date:2013
Main Authors: Serdyuk, A. S., Stepanyuk, T. A., Сердюк, А. С., Степанюк, Т. А.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2013
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/180
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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