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

• Datum: 2014
• 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
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

We obtain in the metric of spaces $L_{s}$, $1< s\leq\infty$, 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}^...