Linear widths of classes $S_{p,\theta}^\Omega B$ of periodic functions of several variables

• Datum: 2015
• Hauptverfasser: Devevyanko, N. V., Cheremshynska, O. I., Дерев'янко, Н. В., Черемшинська, О. І.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Інститут математики НАН України 2015
• Online Zugang: https://trim.imath.kiev.ua/index.php/trim/article/view/291
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

Obtained here are the order estimates of linear widths of the classes $S_{p,\theta}^\Omega B$ of periodic functions of many variables in the space $L_q$ for $1<p\leq 2$, $p/{(p-1)}<q<\infty$ and $2\leq p<q<\infty$.