Geodesic
Widths of classes of finitely smooth functions in Sobolev spaces
Matematičeskie zametki, Tome 77 (2005) no. 4, pp. 535-539

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We describe the weak asymptotics of the behavior of the Kolmogorov, Gelfand, linear, Aleksandrov, and entropy widths of the unit ball of the space $W_p^lH^\omega(I^d)$ in the space $W_q^m(I^d)$. 
@article{MZM_2005_77_4_a5,
     author = {S. N. Kudryavtsev},
     title = {Widths of classes of finitely smooth functions in {Sobolev} spaces},
     journal = {Matemati\v{c}eskie zametki},
     pages = {535--539},
     publisher = {mathdoc},
     volume = {77},
     number = {4},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_77_4_a5/}
}
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S. N. Kudryavtsev. Widths of classes of finitely smooth functions in Sobolev spaces. Matematičeskie zametki, Tome 77 (2005) no. 4, pp. 535-539. http://geodesic.mathdoc.fr/item/MZM_2005_77_4_a5/