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

• Date: 2014
• Author Affiliations: Т. А. Степанюк — Східноєвропейський національний університет імені Лесі Українки
• Keywords: keywords
• Main Authors: Stepaniuk, T. A., Степанюк, Т. А.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2014
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/80
• Journal Title: 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}^...