Estimates of some approximating characteristics of the classes of periodic functions of one and many variables

• Дата: 2019
• Автори: Romanyuk, A. S., Romanyuk, V. S., Романюк, А. С., Романюк, В. С.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2019
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1501
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We obtain the exact-order estimates for some approximating characteristics of the classes $\mathbb{W}^{\boldsymbol{r}}_{p,\boldsymbol{\alpha}}$ and $\mathbb{B}^{\boldsymbol{r}}_{p,\theta}$ of periodic functions of one and many variables in the norm of the space $B_{\infty, 1}.$