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Matematicheskie Zametki, 2025, Volume 117, Issue 6, Pages 922–927 (Mi mzm14666)  

Kolmogorov widths of the class $W_1^1$

Yu. V. Malykhin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
References:
Abstract: We prove that $d_n(W^1_1,L_q)\asymp n^{-1/2}\log n$, $2
Keywords: Kolmogorov width, Sobolev classes, functions of bounded variation
Received: 04.03.2025
Document Type: Article
UDC: 517.5
MSC: 41A46
Language: Russian
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    Математические заметки Mathematical Notes
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