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Matematicheskie Zametki, 1975, Volume 17, Issue 3, Pages 391–400 (Mi mzm7555)  
Strong summability of double series by matrix methods and Tauberian theorems for these methods

K. M. Slepenchuk

Dnepropetrovsk State University
Full-text PDF (484 kB)
Abstract: Conditions are established under which matrix transformations of double series and sequences preserve strong convergence. In addition, a general Tauberian theorem is established and applied to the method of Borel.
Received: 18.12.1973
English version:
Mathematical Notes, 1975, Volume 17, Issue 3, Pages 227–232
DOI: https://doi.org/10.1007/BF01149011
Bibliographic databases:
UDC: 517
Language: Russian
Citation: K. M. Slepenchuk, “Strong summability of double series by matrix methods and Tauberian theorems for these methods”, Mat. Zametki, 17:3 (1975), 391–400; Math. Notes, 17:3 (1975), 227–232
Citation in format AMSBIB
\Bibitem{Sle75}
\by K.~M.~Slepenchuk
\paper Strong summability of double series by matrix methods and Tauberian theorems for these methods
\jour Mat. Zametki
\yr 1975
\vol 17
\issue 3
\pages 391--400
\mathnet{http://mi.mathnet.ru/mzm7555}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=397229}
\zmath{https://zbmath.org/?q=an:0321.40009|0315.40008}
\transl
\jour Math. Notes
\yr 1975
\vol 17
\issue 3
\pages 227--232
\crossref{https://doi.org/10.1007/BF01149011}
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