Tauberian conditions under which convergence follows from Cesàro summability of double integrals over R2

DOI10.2298/FIL1911425FzbMath1496.40018OpenAlexW3007774024MaRDI QIDQ5863894

Gökşen Findik, İbrahim Çanak

Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1911425f

zbMATH Keywords

convergence in Pringsheim's senseimproper double integralone-sided and two-sided Tauberian conditions\((C, 0, 1)\)\((C, 1, 0)\)Cesàro summability \((C, 1, 1)\)slow decrease and strong slow decrease in different sensesslow oscillation and strong slow oscillation in different senses

Mathematics Subject Classification ID

Multiple sequences and series (40B05) Convergence and divergence of integrals (40A10) Tauberian theorems (40E05)

Related Items (1)

Tauberian conditions under which convergence follows from Cesàro summability of triple integrals over \({\mathbb{R}}_+^3\)

Cites Work

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• Some Tauberian theorems for the weighted mean methods of summability
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• Tauberian conditions for Cesàro summability of integrals
• Tauberian theorems for Cesàro summable double integrals over $ℝ^{2}_{+}$
• On the Cesaro summability for functions of two variables
• Tauberian conditions under which convergence of integrals follows from summability \((C,1)\) over \(\mathbb{R}_+\)

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