Necessary and sufficient Tauberian conditions for weighted mean methods of summability in two-normed spaces

DOI10.12697/ACUTM.2020.24.04zbMath1475.40007OpenAlexW3088595598MaRDI QIDQ4992886

Gizem Erikli, Ece Yaraşgil, İbrahim Çanak, Sefa Anıl Sezer

Publication date: 10 June 2021

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12697/acutm.2020.24.04

zbMATH Keywords

Tauberian conditionsslowly oscillating sequences$2$-normed spacesweighted mean methods of summability

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Tauberian theorems (40E05) Summability in abstract structures (40J05)

Cites Work

• Statistical extensions of some classical Tauberian theorems for Cesàro summability of triple sequences
• Tauberian theorems for sequences in 2-normed spaces
• Necessary and sufficient Tauberian conditions for certain weighted mean methods of summability. II
• Tauberian conditions for the \((C, \alpha )\) integrability of functions
• Tauberian theorems for the logarithmic summability methods of integrals
• Tauberian conditions on some slowly decreasing sequences
• Tauberian Theory
• Lineare 2‐normierte Räume
• 2‐Banach Spaces
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