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

• Дата: 2014
• Автори: Stepaniuk, T. A., Степанюк, Т. А.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Інститут математики НАН України 2014
• Онлайн доступ: 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}^...