Best trigonometric and bilinear approximations for the classes of $(ψ, β)$ -differentiable periodic functions

• Дата: 2016
• Автори: Shkapa, V. V., Шкапа, В. В.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2016
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1846
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish the exact-order estimates for the best $m$-term trigonometric approximations of the classes $L^{\psi}_{\beta, 1}$ in the space $L_q,\; 2 < q < \infty$. We also determine the exact orders of the best bilinear approximations for the classes of functions of two variables gen...