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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 5, Pages 1026–1045 (Mi smj1348)  
This article is cited in 2 scientific papers (total in 2 papers)

Stability in the $C$-norm and $W^1_\infty$ of classes of Lipschitz functions of one variable

M. V. Korobkov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (299 kB) Citations (2)
Abstract: In the framework of Kopylov's $\omega$-stability concept, we study some stable classes of Lipschitz functions of one real variable. We obtain an exhaustive (nontrivial) classification for these classes and establish the relevant stability estimates in the $W^1_\infty$-norm.
Keywords: stability, classes of Lipschitz functions of one variable.
Received: 28.05.2001
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 5, Pages 827–842
DOI: https://doi.org/10.1023/A:1020198505810
Bibliographic databases:
UDC: 517.518.244
Language: Russian
Citation: M. V. Korobkov, “Stability in the $C$-norm and $W^1_\infty$ of classes of Lipschitz functions of one variable”, Sibirsk. Mat. Zh., 43:5 (2002), 1026–1045; Siberian Math. J., 43:5 (2002), 827–842
Citation in format AMSBIB
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\by M.~V.~Korobkov
\paper Stability in the $C$-norm and $W^1_\infty$ of classes of Lipschitz functions of one variable
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 5
\pages 1026--1045
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1946262}
\zmath{https://zbmath.org/?q=an:1014.26009}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 5
\pages 827--842
\crossref{https://doi.org/10.1023/A:1020198505810}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000178696400006}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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