Some one-sided conditions under which subsequential convergence follows from (\(A,k\)) summability method

DOI10.1016/J.AML.2010.12.007zbMath1218.40006OpenAlexW2041968126MaRDI QIDQ628268

Ümit Totur, İbrahim Çanak, Mehmet Dik

Publication date: 10 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.aml.2010.12.007

zbMATH Keywords

linear operatorgeneral control modulomoderate oscillationslow oscillation(\(A,k\)) summability

Mathematics Subject Classification ID

Abel, Borel and power series methods (40G10)

Cites Work

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• Tauberian theorems for Abel limitability method
• One-sided Tauberian conditions for \((A,k)\) summability method
• Some conditions under which subsequential convergence follows from boundedness
• Conditions for convergence and subsequential convergence
• Applications of subsequential Tauberian theory to classical Tauberian theory
• A Tauberian theorem with a generalized one-sided condition
• Some conditions under which subsequential convergence follows from (A, m) summability
• Tauberian retrieval theory

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