Extended Tauberian theorem for the weighted mean method of summability

DOI10.1007/s11253-013-0839-xzbMath1307.40007OpenAlexW1975192010MaRDI QIDQ399640

Ümit Totur, İbrahim Çanak

Publication date: 20 August 2014

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

Full work available at URL: https://doi.org/10.1007/s11253-013-0839-x

zbMATH Keywords

summabilityweighted meansTauberian theorems

Mathematics Subject Classification ID

Tauberian theorems (40E05)

Related Items (9)

Some Tauberian theorems for statistical \((C, 1)\) summability ⋮ Parametrized means and limit properties of their Gaussian iterations ⋮ Tauberian theorems for iterations of weighted mean summable integrals ⋮ Some Tauberian theorems for the weighted mean method of summability of double sequences ⋮ A Tauberian theorem for the generalized Nörlund summability method ⋮ Some Applications of Summability Theory ⋮ A Tauberian theorem for the power-series summability method ⋮ TAUBERIAN THEOREMS FOR THE WEIGHTED MEAN METHOD OF SUMMABILITY OF INTEGRALS ⋮ A theorem for the \((J,p)\) summability method

Cites Work

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• Tauberian conditions with controlled oscillatory behavior
• Some Tauberian theorems for the weighted mean methods of summability
• Some Tauberian theorems for Borel summability methods
• Tauberian conditions for methods with sectional convergence
• A condition under which slow oscillation of a sequence follows from Cesàro summability of its generator sequence
• One-sided Tauberian conditions for \((A,k)\) summability method
• Necessary and sufficient Tauberian conditions for certain weighted mean methods of summability
• An extended Tauberian theorem for the \((C,1)\) summability method

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