Mean-square approximation by an angle in $L_2$ and the values of quasiwidths for some classes of functions

• Date: 2020
• Main Authors: Shabozov, M. Sh., Akobirshoev , M. O., Акобиршоев, М. О., Шабозов, М. Ш.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1064
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 In the metric $L_{2},$ we obtain exact inequalities that associate the best approximations by trigonometrical ``angles'' for functions $f(x,y),$ which are differentiable and $2\pi$-periodic in each variable, with the integrals containing modules of continuity of higher or...