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, 1991, Volume 69, Issue 2, Pages 379–391
DOI: https://doi.org/10.1070/SM1991v069n02ABEH001249 (Mi sm1171) 		 
The poles of Tchebycheff rational approximations and meromorphic extension of functions

V. A. Prokhorov

Belarusian State University
English version PDF (533 kB) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1991v069n02ABEH001249
Abstract: A characterization is given for an $m$-meromorphic continuation of a continuous function $f$ on the segment $[-1,1]$, in terms of the asymptotic behavior of the finite poles of the $m$th row of the table of Tchebycheff rational approximants to $f$.
Received: 05.10.1988 and 19.10.1989
Bibliographic databases:
UDC: 517.53
MSC: Primary 30D30; Secondary 30E10
Language: English
Original paper language: Russian
Citation: V. A. Prokhorov, “The poles of Tchebycheff rational approximations and meromorphic extension of functions”, Math. USSR-Sb., 69:2 (1991), 379–391
Citation in format AMSBIB
\Bibitem{Pro90}
\by V.~A.~Prokhorov
\paper The poles of Tchebycheff rational approximations and meromorphic extension of~functions
\jour Math. USSR-Sb.
\yr 1991
\vol 69
\issue 2
\pages 379--391
\mathnet{http://mi.mathnet.ru/eng/sm1171}
\crossref{https://doi.org/10.1070/SM1991v069n02ABEH001249}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1049994}
\zmath{https://zbmath.org/?q=an:0711.30037|0725.30027}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991SbMat..69..379P}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991GB41500004}
Linking options:
  • https://www.mathnet.ru/eng/sm1171
  • https://doi.org/10.1070/SM1991v069n02ABEH001249
  • https://www.mathnet.ru/eng/sm/v181/i3/p354
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1989–1990 Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025