Matematicheskie Zametki
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. Zametki:
Year:
Volume:
Issue:
Page:
Find






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


Matematicheskie Zametki, 1974, Volume 16, Issue 3, Pages 361–364 (Mi mzm7468)  

This article is cited in 1 scientific paper (total in 1 paper)

Noneffectiveness of a class of regular matrices

G. A. Mikhalin

Kiev Pedagogic Institute
Full-text PDF (204 kB) Citations (1)
Abstract: We show that if a sequence $\{\varepsilon_n\}$ is such that $\varepsilon_1>\varepsilon_2\ge\varepsilon_3\ge\dots$, $\sum_{n=1}^\infty\varepsilon_n=1$, then for any bounded sequence $\{S_n\}$ the equation $\lim\limits_{n\to\infty}\sum_{k=1}^n\varepsilon_{n+1-k}S_k=S$ implies the equation $\lim\limits_{n\to\infty}S_n=S$. This theorem generalizes a theorem of N. A. Davydov [2].
Received: 26.06.1973
English version:
Mathematical Notes, 1974, Volume 16, Issue 3, Pages 803–805
DOI: https://doi.org/10.1007/BF01148123
Bibliographic databases:
UDC: 517. 5
Language: Russian
Citation: G. A. Mikhalin, “Noneffectiveness of a class of regular matrices”, Mat. Zametki, 16:3 (1974), 361–364; Math. Notes, 16:3 (1974), 803–805
Citation in format AMSBIB
\Bibitem{Mik74}
\by G.~A.~Mikhalin
\paper Noneffectiveness of a~class of regular matrices
\jour Mat. Zametki
\yr 1974
\vol 16
\issue 3
\pages 361--364
\mathnet{http://mi.mathnet.ru/mzm7468}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=361514}
\zmath{https://zbmath.org/?q=an:0309.40009}
\transl
\jour Math. Notes
\yr 1974
\vol 16
\issue 3
\pages 803--805
\crossref{https://doi.org/10.1007/BF01148123}
Linking options:
  • https://www.mathnet.ru/eng/mzm7468
  • https://www.mathnet.ru/eng/mzm/v16/i3/p361
  • 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
    Математические заметки Mathematical Notes
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024