Approximations of entire functions by polynomials of the best standard approximation

We find asymptotic equality for the top limits of approaching by the polynomials of best mean approximation on classes of $2\pi$--periodic functions $C^\psi_{\overline\beta,s}$, $1\leq s \leq\infty$, and $C^\psi_{\overline\beta}H_\omega$, that are set by multipliers $\psi(k)$ and by shifts forward a...

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Bibliographic Details
Date:2017
Main Authors: Vojtovich, V. A., Войтович, В. А.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2017
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/105
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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