Lower bounds for widths of classes of convolutions of periodic functions in the metrics of $C$ and $L$

• Дата: 1995
• Автори: Serdyuk, A. S., Stepanets, O. I., Сердюк, А. С., Степанец, А. И.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1995
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5507
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We give new sufficient conditions for kernels to belong to the set $C_{y, 2n}$ introduced by Kushpel'. These conditions give the possibility of extending the set of kernels belonging to $C_{y, 2n}$. On the basis of these results, we obtain lower bounds for the Kolmogorov widths of classes o...