Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Sbornik, 1982, Volume 42, Issue 2, Pages 287–296
DOI: https://doi.org/10.1070/SM1982v042n02ABEH002254 (Mi sm2327) 		 
This article is cited in 26 scientific papers (total in 26 papers)

The Jacobi–Perron algorithm and simultaneous approximation of functions

V. I. Parusnikov
English version PDF (520 kB) Citations (26)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1982v042n02ABEH002254
Abstract: A generalization of the Jacobi–Perron algorithm to the case of functions is considered. The rate is determined for the convergence (with respect to the coefficients of the Laurent series) of the generating rational functions to the functions that are being expanded in a continued fraction by means of this algorithm. A necessary and sufficient condition is given for a continued fraction to be broken off.
Bibliography: 8 titles.
Received: 28.02.1980
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1981, Volume 114(156), Number 2, Pages 322–333
Bibliographic databases:
UDC: 517.5
MSC: 30B70, 40A15, 40A25
Language: English
Original paper language: Russian
Citation: V. I. Parusnikov, “The Jacobi–Perron algorithm and simultaneous approximation of functions”, Mat. Sb. (N.S.), 114(156):2 (1981), 322–333; Math. USSR-Sb., 42:2 (1982), 287–296
Citation in format AMSBIB
\Bibitem{Par81}
\by V.~I.~Parusnikov
\paper The Jacobi--Perron algorithm and simultaneous approximation of functions
\jour Mat. Sb. (N.S.)
\yr 1981
\vol 114(156)
\issue 2
\pages 322--333
\mathnet{http://mi.mathnet.ru/sm2327}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=609293}
\zmath{https://zbmath.org/?q=an:0484.30005|0461.30003}
\transl
\jour Math. USSR-Sb.
\yr 1982
\vol 42
\issue 2
\pages 287--296
\crossref{https://doi.org/10.1070/SM1982v042n02ABEH002254}
Linking options:
  • https://www.mathnet.ru/eng/sm2327
  • https://doi.org/10.1070/SM1982v042n02ABEH002254
  • https://www.mathnet.ru/eng/sm/v156/i2/p322
    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:562
    Russian version PDF:231
    English version PDF:20
    References:41
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024