Estimates for diameters of Sobolev classes of small-order smoothness
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1983), pp. 24-30

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We obtain some precise in the degree scale estimates of the Kolmogorov diameters of the class $\widetilde{W}_p^r$ with $1/p-1/q$, $2\le p$ in the metric of $L^q$.
@article{VMUMM_1983_2_a5,
     author = {E. D. Kulanin},
     title = {Estimates for diameters of {Sobolev} classes of small-order smoothness},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {24--30},
     publisher = {mathdoc},
     number = {2},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a5/}
}
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E. D. Kulanin. Estimates for diameters of Sobolev classes of small-order smoothness. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1983), pp. 24-30. http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a5/