On Tauberian conditions for the logarithmic methods of integrability

DOI10.1007/S40840-016-0371-XzbMath1400.40003OpenAlexW2340200025MaRDI QIDQ1746720

Ümit Totur, Muhammet Ali Okur

Publication date: 25 April 2018

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-016-0371-x

zbMATH Keywords

Tauberian theoremTauberian conditionone-sided conditionslowly decreasing sequencelogarithmic method

Mathematics Subject Classification ID

Integral methods for summability (40C10) Convergence and divergence of integrals (40A10) Tauberian theorems (40E05)

Related Items (5)

Tauberian conditions with controlled oscillatory behavior for statistical convergence ⋮ Tauberian theorems for the logarithmic summability methods of integrals ⋮ Tauberian theorems for iterations of weighted mean summable integrals ⋮ On the convergence of weighted mean summable improper integrals over \(\mathbb{R}_{\geq 0}\) ⋮ Tauberian theorems for the summability methods of logarithmic type

Cites Work

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• A Tauberian theorem for Cesáro summability of integrals
• Alternative proofs of some classical type Tauberian theorems for the Cesàro summability of integrals
• Tauberian conditions for Cesàro summability of integrals
• On the \((C,1)\) summability method of improper integrals
• Necessary and sufficient Tauberian conditions for the logarithmic summability of functions and sequences
• A converse theorem on the summability methods
• Tauberian theorems concerning the summability methods of logarithmic type
• On the summability methods of logarithmic type
• The (C, α) integrability of functions by weighted mean methods

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