Statistical extensions of some classical Tauberian theorems for Cesàro summability of triple sequences

DOI10.1007/s00025-016-0582-3zbMath1362.40011OpenAlexW2494425735MaRDI QIDQ346584

Ümit Totur, Zerrin Önder, İbrahim Çanak

Publication date: 29 November 2016

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-016-0582-3

zbMATH Keywords

statistical convergenceTauberian theoremsconvergence in Pringsheim's senseslowly oscillating sequencestriple sequences

Mathematics Subject Classification ID

Multiple sequences and series (40B05) Tauberian theorems (40E05) Ideal and statistical convergence (40A35)

Related Items

New Tauberian theorems for statistical Cesàro summability of a function of three variables over a locally convex space ⋮ Tauberian theorems for sequences in 2-normed spaces ⋮ Unnamed Item ⋮ Necessary and sufficient Tauberian conditions for weighted mean methods of summability in two-normed spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Some classical Tauberian theorems for \((C,1,1,1)\) summable triple sequences
• Tauberian theorems for statistically convergent double sequences
• Tauberian theorems for double sequences that are statistically summable \((C,1,1)\)
• Tauberian conditions, under which statistical convergence follows from statistical summability \((C,1)\)
• Limitierungs-Umkehrsätze für Doppelfolgen
• The Integrability of Certain Functions and Related Summability Methods
• ON STATISTICAL CONVERGENCE
• Tauberian theorems for Cesàro summable double sequences
• Ordinary convergence follows from statistical summability (C,1) in the case of slowly decreasing or oscillating sequences
• Statistical extensions of some classical Tauberian theorems
• Sur la convergence statistique