Kolmogorov widths of the class W₁¹
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classification
math.FA
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kolmogorovwidthsasympcaseclassclassesclassicalcompletes
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We prove that $d_n(W^1_1,L_q)\asymp n^{-1/2}\log n$, $2<q<\infty$. This completes the study of orders of decay of Kolmogorov widths for the classical case of the univariate Sobolev classes of integer smoothness.
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