Yurii N. Subbotin, “One-sided widths of classes of smooth functions”, Ural Math. J., 1:1 (2015), 83

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Ural Mathematical Journal, 2015, Volume 1, Issue 1, Pages 83–86
DOI: https://doi.org/10.15826/umj.2015.1.008 (Mi umj8)

One-sided widths of classes of smooth functions

Yurii N. Subbotin^ab

^a N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
^b Ural Federal University, Ekaterinburg, Russia

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DOI: https://doi.org/10.15826/umj.2015.1.008

Abstract: One-sided widths of the classes of functions

$W_p^r[0,1]$ in the metric

$L_q[0,1],$

$1\le p,q \le \infty,\ r>1$ , are studied. Such widths are defined similarly to Kolmogorov widths with additional constraints on the approximating functions.

Keywords: One-sided widths, Exact orders, Classes of smooth functions.

Bibliographic databases:

Document Type: Article

Language: English

Citation: Yurii N. Subbotin, “One-sided widths of classes of smooth functions”, Ural Math. J., 1:1 (2015), 83–86

Citation in format AMSBIB

\Bibitem{Sub15}

\by Yurii~N.~Subbotin

\paper One-sided widths of classes of smooth functions

\jour Ural Math. J.

\yr 2015

\vol 1

\issue 1

\pages 83--86

\mathnet{http://mi.mathnet.ru/umj8}

\crossref{https://doi.org/10.15826/umj.2015.1.008}

\zmath{https://zbmath.org/?q=an:1413.41035}

\elib{https://elibrary.ru/item.asp?id=25613598}

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https://www.mathnet.ru/eng/umj/v1/i1/p83

Translation

One-sided widths of classes of smooth functions
Yu. N. Subbotin
Trudy Inst. Mat. i Mekh. UrO RAN, 2012, 18:4, 267–270

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	53

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