Geodesic
One-sided widths of classes of smooth functions
Ural mathematical journal, Tome 1 (2015) no. 1, pp. 83-86

Voir la notice de l'article provenant de la source Math-Net.Ru

One-sided widths of the classes of functions $W_p^r[0,1]$ in the metric $L_q[0,1],$ $1\le p,q \le \infty,\ r>1$, are studied. Such widths are defined similarly to Kolmogorov widths with additional constraints on the approximating functions.
Keywords: One-sided widths, Exact orders, Classes of smooth functions. 
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     author = {Yurii N. Subbotin},
     title = {One-sided widths of classes of smooth functions},
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Yurii N. Subbotin. One-sided widths of classes of smooth functions. Ural mathematical journal, Tome 1 (2015) no. 1, pp. 83-86. http://geodesic.mathdoc.fr/item/UMJ_2015_1_1_a7/