Estimates for the entropy numbers of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of many variables

• Date: 2017
• Main Authors: Konograi, A. F., Musienko, A. P., Конограй, А. Ф., Мусієнко, А. П.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2017
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/319
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We obtain the order estimates for the entropy numbers of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of many variables in the space $L_q$ with certain relations between the parameters $p$ and $q$.