Estimates of the best bilinear approximations for the classes of $(ψ,β)$-differentiable periodic multivariate functions

• Дата: 2018
• Автори: Shvai, K. V., Швай, К. В.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2018
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1576
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Order estimates are obtained for the best bilinear approximations of $2d$-variable functions $f(x y),\; x, y \in \pi_d,\; \pi_d =\prod^d_{j=1} [ \pi , \pi ]$, formed by $d$-variable functions $f(x) \in L^{\psi}_{\beta} ,p$ by the shifts of their argument $x \in \pi_d$ by all possible values of $y...