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Estimates for the best approximations and approximation by Fourier sums of classes of convolutions of periodic functions of not high smoothness in integral metrics

We obtain in the metric of spaces $L_{s}$, $1&lt; s\leq\infty$, the exact order estimates of the best approximations and approximations by Fourier sums of classes of convolutions periodic functions that belong to unit ball of space $L_{1}$, with generating kernel $\Psi_{\beta}(t)=\sum_{k=1}^...

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Datum:	2014
Автори та афіліації:	Т. А. Степанюк — Східноєвропейський національний університет імені Лесі Українки
Ключові слова:	keywords
Hauptverfasser:	Stepaniuk, T. A., Степанюк, Т. А.
Format:	Artikel
Sprache:	Ukrainisch
Veröffentlicht:	Інститут математики НАН України 2014
Online Zugang:	https://trim.imath.kiev.ua/index.php/trim/article/view/80
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Transactions of Institute of Mathematics of NAS of Ukraine
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