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

  • A. S. Romanyuk

Abstract

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.

Published
25.07.2001
How to Cite
RomanyukA. S. “On Estimates of the Kolmogorov Widths of the Classes $B_{p,θ}^r$ in the Space $L_q$”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 53, no. 7, July 2001, pp. 996-1001, https://umj.imath.kiev.ua/index.php/umj/article/view/4320.
Section
Short communications