Estimates for the best bilinear approximations of the classes $B^r_{p,\theta}$ and singular numbers of integral operators

• Дата: 2016
• Автори: Romanyuk, A. S., Romanyuk, V. S., Романюк, А. С., Романюк, В. С.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2016
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1917
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain the exact-order estimates for the best bilinear approximations of the Nikol‘ski–Besov classes $B^r_{p,\theta}$ of periodic functions of several variables. We also find the orders for singular numbers of the integral operators with kernels from the classes $B^r_{p,\theta}$.