Kolmogorov widths of the class $W_1^1$

We prove that $d_n(W_1^1,L_q)\asymp n^{-1\mathrm{/}2}\log n$, $2<q<\mathrm{\infty }$. This completes the study of orders of decay of Kolmogorov widths for the classical case of the univariate Sobolev classes of integer smoothness.