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Matematicheskie Zametki, 2008, Volume 84, Issue 5, Pages 676–680
DOI: https://doi.org/10.4213/mzm6362 (Mi mzm6362) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Kolmogorov Widths of Weighted Sobolev Classes on Closed Intervals

A. A. Vasil'eva

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.4213/mzm6362
Abstract: In this paper, we estimate the asymptotics of the Kolmogorov widths of weighted Sobolev classes in the metric of $L_p$. We establish the relationship between the width of the set $W^1_{\infty,g}$ and the approximation of the antiderivative function $g$ by piecewise constant functions.
Keywords: Kolmogorov width, weighted Sobolev class, measurable function, the space $L_p$, Maiorov discretization, Riemann–Liouville operator.
Received: 06.06.2008
English version:
Mathematical Notes, 2008, Volume 84, Issue 5, Pages 631–635
DOI: https://doi.org/10.1134/S0001434608110047
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: A. A. Vasil'eva, “Kolmogorov Widths of Weighted Sobolev Classes on Closed Intervals”, Mat. Zametki, 84:5 (2008), 676–680; Math. Notes, 84:5 (2008), 631–635
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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