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arXiv · 2502.06716

Kolmogorov widths of the class $W_1^1$

Yuri Malykhin
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Abstract

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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BibTeXRIS

Yuri Malykhin. 2025-02-10. Kolmogorov widths of the class $W_1^1$. https://arxiv.org/abs/2502.06716

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