Geodesic
Kolmogorov and trigonometric widths of the Besov classes $B^r_{p,\theta}$ of multivariate periodic functions
Sbornik. Mathematics, Tome 197 (2006) no. 1, pp. 69-93

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Precise (in order) estimates of the Kolmogorov widths in the space $L_q$, $1$, 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. 
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     author = {A. S. Romanyuk},
     title = {Kolmogorov and trigonometric widths of the {Besov} classes $B^r_{p,\theta}$ of multivariate periodic functions},
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A. S. Romanyuk. Kolmogorov and trigonometric widths of the Besov classes $B^r_{p,\theta}$ of multivariate periodic functions. Sbornik. Mathematics, Tome 197 (2006) no. 1, pp. 69-93. http://geodesic.mathdoc.fr/item/SM_2006_197_1_a4/