This article is cited in 16 papers

Kolmogorov and trigonometric widths of the Besov classes $B^r_{p,\theta}$ of multivariate periodic functions

A. S. Romanyuk

Institute of Mathematics, Ukrainian National Academy of Sciences

Abstract: Precise (in order) estimates of the Kolmogorov widths in the space $L_q$, $1<q<\infty$, of the classes $B^r_{1,\theta}$ and $B^r_{\infty,\theta}$ and also of the trigonometric widths of the classes $B^r_{p,\theta}$ in $L_q$ for $p$ and $q$ satisfying certain relations are obtained.
Bibliography: 18 titles.

UDC: 517.5

MSC: 46E35

Received: 15.10.2004 and 14.07.2005

DOI: 10.4213/sm1496

 English version: Sbornik: Mathematics, 2006, 197:1, 69–93

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