Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (196 kB) Citations (1)
References:
PDF
HTML
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
\Bibitem{Pon04}
\by S.~P.~Ponomarev
\paper Variation preserving extensions and generalized essential variation
\jour Sibirsk. Mat. Zh.
\yr 2004
\vol 45
\issue 6
\pages 1338--1346
\mathnet{http://mi.mathnet.ru/smj1144}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2123297}
\zmath{https://zbmath.org/?q=an:1097.26008}
\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
\issue 6
\pages 1091--1097
\crossref{https://doi.org/10.1023/B:SIMJ.0000048925.95111.a0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000225820500012}
Linking options:
  • https://www.mathnet.ru/eng/smj1144
  • https://www.mathnet.ru/eng/smj/v45/i6/p1338
    • 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024