A Tauberian theorem for the power-series summability method

DOI10.1007/s11253-018-1482-3zbMath1428.40004OpenAlexW2810058784MaRDI QIDQ2321614

Ümit Totur, İbrahim Çanak

Publication date: 23 August 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-018-1482-3

zbMATH Keywords

one-sided Tauberian conditionpower-series summability method

Mathematics Subject Classification ID

Abel, Borel and power series methods (40G10) Tauberian theorems (40E05)

Related Items (1)

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Cites Work

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• Extended Tauberian theorem for the weighted mean method of summability
• Tauberian theorems for the \((J,p)\) summability method
• Some general Tauberian conditions for the weighted mean summability method
• Some Tauberian theorems for the weighted mean methods of summability
• Tauberian conditions for methods with sectional convergence
• Tauberian theorems for \(J_ p\)-summability
• One-sided Tauberian conditions for \((A,k)\) summability method
• Tauber-Sätze für Potenzreihenverfahren. (Tauberian theorems for power series methods)
• Theorems of Tauberian type for \((J,p_n)\) summation methods
• Ordinary convergence follows from statistical summability (C,1) in the case of slowly decreasing or oscillating sequences
• A Tauberian theorem for $\left( {J,p_n} \right)$ summability

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