Estimations of linear widths of the classes $H_p^\Omega$ periodic functions of many variables in the space $L_q$

• Date: 2014
• Author Affiliations: Н. В. Дерев'янко — Інститутт математики НАН України
• Keywords: keywords
• Main Authors: Derev’yanko, N. V., Дерев'янко, Н. В.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2014
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/71
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

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