Geodesic
One-sided widths of classes of smooth functions
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 4, pp. 267-270

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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. 
Yu. N. Subbotin. One-sided widths of classes of smooth functions. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 4, pp. 267-270. http://geodesic.mathdoc.fr/item/TIMM_2012_18_4_a23/
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