Tauberian theorems for the logarithmic summability methods of integrals

DOI10.1007/S11117-018-0592-3zbMath1420.40003OpenAlexW2806526418WikidataQ129800668 ScholiaQ129800668MaRDI QIDQ2414021

Muhammet Ali Okur, Ümit Totur

Publication date: 10 May 2019

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-018-0592-3

zbMATH Keywords

Tauberian theoremTauberian conditiongeneral control moduluslogarithmic summability method of integrals

Mathematics Subject Classification ID

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

Related Items (2)

On the convergence of weighted mean summable improper integrals over \(\mathbb{R}_{\geq 0}\) ⋮ Necessary and sufficient Tauberian conditions for weighted mean methods of summability in two-normed spaces

Cites Work

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• Tauberian theorems for the summability methods of logarithmic type
• On Tauberian conditions for the logarithmic methods of integrability
• One-sided Tauberian conditions for \((C,1)\) summability method of integrals
• Tauberian conditions for Cesàro summability of 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

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