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Some conditions under which subsequential convergence follows from boundedness

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Publication:998605
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DOI10.1016/j.aml.2007.10.009zbMath1152.40300OpenAlexW2082628940MaRDI QIDQ998605

Mehmet Dik, İbrahim Çanak

Publication date: 29 January 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.10.009


zbMATH Keywords

general control modulosubsequential convergenceclassical control modulopseudo-Cauchy sequencepseudo-slowly oscillating sequence


Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05)


Related Items (3)

Some one-sided conditions under which subsequential convergence follows from (\(A,k\)) summability method ⋮ Some sufficient conditions for subsequential convergence of a sequence ⋮ SOME TAUBERIAN REMAINDER THEOREMS FOR HOLDER SUMMABILITY



Cites Work

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  • On a theorem of W. Meyer-König and H. Tietz
  • Applications of subsequential Tauberian theory to classical Tauberian theory
  • A Tauberian theorem with a generalized one-sided condition


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