Tauberian theorems for statistically convergent double sequences

DOI10.1016/j.ins.2005.01.006zbMath1092.40002OpenAlexW2072430304MaRDI QIDQ819314

Osama H. H. Edely, Mohammad Mursaleen

Publication date: 28 March 2006

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2005.01.006

zbMATH Keywords

statistical convergenceTauberian theoremsCesàro convergence

Mathematics Subject Classification ID

Multiple sequences and series (40B05) Tauberian theorems (40E05)

Related Items (13)

Some Tauberian theorems for statistical \((C, 1)\) summability ⋮ Some Tauberian conditions on logarithmic density ⋮ Korovkin-Type Approximation Theorem for Functions of Two Variables Via Statistical Summability (C, 1, 1) ⋮ Statistical extensions of some classical Tauberian theorems for Cesàro summability of triple sequences ⋮ Convergence follows from Cesàro summability in the case of slowly decreasing or slowly oscillating double sequences in certain senses ⋮ Extension of lacunary statistical convergence on vector valued double difference sequence space ⋮ Statistical \(e\)-convergence of double sequences and its application to Korovkin-type approximation theorem for functions of two variables ⋮ On statistical \(\mathfrak{A} \)-Cauchy and statistical \(\mathfrak{A} \)-summability via ideal ⋮ Unnamed Item ⋮ Measure theory of statistical convergence ⋮ Tauberian theorems for statistically \((C, 1, 1)\) summable double sequences ⋮ On regularly generated double sequences ⋮ Tauberian theorems for the statistical convergence and the statistical (C,1,1) summability

Cites Work

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• Statistical convergence of double sequences
• Statistical convergence of multiple sequences
• The Asymptotic Density of Some k-Dimensional Sets
• ON STATISTICAL CONVERGENCE
• THE STATISTICAL AND STRONG p-CESARO CONVERGENCE OF SEQUENCES
• Tauberian theorems for Cesàro summable double sequences
• Statistical extensions of some classical Tauberian theorems
• Sur la convergence statistique
• Tauberian theorems for weighted means of double sequences

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