Statistical convergence of double sequences on probabilistic normed spaces

DOI10.1155/2007/14737zbMath1147.54016OpenAlexW1995731404MaRDI QIDQ925406

Sevda Karakuş, Kamil Demirci

Publication date: 3 June 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2007/14737

zbMATH Keywords

statistical convergencedouble sequencesprobabilistic normed spaces

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Probabilistic metric spaces (54E70) Functional analysis in probabilistic metric linear spaces (46S50)

Related Items (17)

μ-Statistically Convergent Multiple Sequences in Probabilistic Normed Spaces ⋮ Best approximation in quotient probabilistic normed space ⋮ Statistical \(\Lambda\)-convergence in probabilistic normed spaces ⋮ On lacunary weak statistical convergence of orderα ⋮ On lacunary ideal convergence in random \(n\)-normed space ⋮ Density by moduli and statistical boundedness ⋮ Statistical convergence of double sequences in intuitionistic fuzzy normed spaces ⋮ On Δᵐ-statistical convergence double sequences in intuitionistic fuzzy normed spaces ⋮ Lacunary statistical convergence in intuitionistic fuzzy \(n\)-normed linear spaces ⋮ Statistical convergence through de la Vallée-Poussin mean in locally solid Riesz spaces ⋮ Further results on strong λ-statistical convergence of sequences in probabilistic metric spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Characterization of statistical convergence of complex uncertain double sequence ⋮ Lacunary ideal convergence of multiple sequences in probabilistic normed spaces ⋮ \(\lambda\)-statistical convergence in paranormed space ⋮ Unnamed Item

Cites Work

• Statistical metric spaces
• Statistical convergence of double sequences
• Statistical convergence of multiple sequences
• Convex sets in probabilistic normed spaces
• The Asymptotic Density of Some k-Dimensional Sets
• ON STATISTICAL CONVERGENCE
• THE STATISTICAL AND STRONG p-CESARO CONVERGENCE OF SEQUENCES
• Sur la convergence statistique
• Statistical Metrics
• Unnamed Item
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• Unnamed Item
• Unnamed Item

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