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

• Datum: 2018
• Hauptverfasser: Shvai, K. V., Швай, К. В.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2018
• Online Zugang: 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...