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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 6, Pages 1338–1346 (Mi smj1144)  
This article is cited in 1 scientific paper (total in 1 paper)

Variation preserving extensions and generalized essential variation

S. P. Ponomarev

Institute of Mathematics, Pomeranian Pedagogical Academy
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Abstract: A mapping from a subset of the real axis to a metric space with finite generalized variation is shown to admit extension to a mapping of the whole real axis with the same variation. This result leads to characterization of the generalized essential variation of a mapping.
Keywords: metric space, generalized variation, generalized essential variation.
Received: 25.12.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 6, Pages 1091–1097
DOI: https://doi.org/10.1023/B:SIMJ.0000048925.95111.a0
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: S. P. Ponomarev, “Variation preserving extensions and generalized essential variation”, Sibirsk. Mat. Zh., 45:6 (2004), 1338–1346; Siberian Math. J., 45:6 (2004), 1091–1097
Citation in format AMSBIB
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\jour Siberian Math. J.
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\pages 1091--1097
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    • This publication is cited in the following 1 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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