On Estimates of the Kolmogorov Widths of the Classes $B_{p,θ}^r$ in the Space $L_q$

• Date: 2001
• Main Authors: Romanyuk, A. S., Романюк, А. С.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4320
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We obtain an order estimate for the Kolmogorov width of the Besov classes $B_{p,{\theta }}^r$ of periodic functions of many variables in the space $L_q$ for $2 < p < q < ∞$, which complements the result obtained earlier by the author.