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Matematicheskie Zametki, 1973, Volume 13, Issue 2, Pages 179–188 (Mi mzm7087)  

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

Summation of bounded sequences by regular positive matrices

N. A. Davydov

Kiev State Pedagogic Institute, USSR
Full-text PDF (698 kB) Citations (1)
Abstract: In terms of elements of regular positive discrete and semicontinuous matrices sufficient conditions are obtained that these matrices do not sum a given real,divergent, bounded sequence and, in particular, that the core of a given sequence coincides with the core of the sequence (function) transformed with the aid of a matrix. These conditions permit certain facts, some well-known and some new, on the theory of inefficient matrices to be obtained.
Received: 07.04.1972
English version:
Mathematical Notes, 1973, Volume 13, Issue 2, Pages 107–112
DOI: https://doi.org/10.1007/BF01094226
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: N. A. Davydov, “Summation of bounded sequences by regular positive matrices”, Mat. Zametki, 13:2 (1973), 179–188; Math. Notes, 13:2 (1973), 107–112
Citation in format AMSBIB
\Bibitem{Dav73}
\by N.~A.~Davydov
\paper Summation of bounded sequences by regular positive matrices
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 2
\pages 179--188
\mathnet{http://mi.mathnet.ru/mzm7087}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=320579}
\zmath{https://zbmath.org/?q=an:0262.40004|0249.40003}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 2
\pages 107--112
\crossref{https://doi.org/10.1007/BF01094226}
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  • https://www.mathnet.ru/eng/mzm/v13/i2/p179
  • 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
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    Full-text PDF :98
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