Kolmogorov widths of the Nikol’skii – Besov classes of periodic functions of many variables in the space of quasi-continuous functions

• Date: 2022
• Main Authors: Romanyuk , A. S., Yanchenko, S. Ya., Романюк, А. С., Янченко, С. Я.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2022
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6932
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.51 We obtain the order estimates of $M$-dimensional Kolmogorov width for the Nikol’skii – Besov classes with dominating mixed derivative of periodic functions of many variables in the metric of the space of quasi-continuous functions (QC-space).