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Widths of classes of finitely smooth functions in Sobolev spaces
Authors:S. N. Kudryavtsev
Affiliation:(1) Computing Center, Russian Academy of Sciences, Moscow
Abstract:We describe the weak asymptotics of the behavior of the Kolmogorov, Gelfand, linear, Aleksandrov, and entropy widths of the unit ball of the space WplHw (Id) in the space Wqm(Id).Translated from Matematicheskie Zametki, vol. 77, no. 4, 2005, pp. 535–539.Original Russian Text Copyright © 2005 by S. N. Kudryavtsev.This revised version was published online in April 2005 with a corrected issue number.
Keywords:function approximation  width of a class of functions  weak asymptotics  finitely smooth function  modulus of continuity
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