Statistical Cluster Points of Sequences in Finite Dimensional Spaces

DOI10.1023/B:CMAJ.0000027250.19041.72zbMath1045.40004OpenAlexW2011156345MaRDI QIDQ4814517

Serpil Pehlivan, A. Güncan, Musa A. Mamedov

Publication date: 7 September 2004

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30840

zbMATH Keywords

compact setstatistical cluster pointnatural densitystatistically bounded sequence

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Density, gaps, topology (11B05)

Related Items

The set of filter cluster functions ⋮ Statistical convergence in fuzzy normed linear spaces ⋮ $\mathcal{I}$-statistical limit points and $\mathcal{I}$-statistical cluster points in Probabilistic Normed Spaces ⋮ A study on convergence and ideal convergence classes ⋮ Characterizations of ideal cluster points ⋮ Rough Statistical Convergence ⋮ Strong Statistical Convergence in Probabilistic Metric Spaces ⋮ Compactness with ideals ⋮ Further results on strong λ-statistical convergence of sequences in probabilistic metric spaces ⋮ \(A\)-statistical cluster points in finite dimensional spaces and application to turnpike theorem ⋮ Sequential definitions of compactness ⋮ On ideal convergent sequences in fuzzy normed linear spaces ⋮ On weak ideal convergence in normed spaces ⋮ Strong \(\Gamma\)-statistical convergence in probabilistic normed spaces ⋮ Ideal-convergence classes ⋮ On \(G\)-continuity ⋮ \({\mathcal{I}} \)-statistical limit points and \({\mathcal{I}} \)-statistical cluster points of double sequences ⋮ Statistically monotonic and statistically bounded sequences of fuzzy numbers ⋮ Strong \(\Gamma\)-ideal convergence in a probabilistic normed space ⋮ On statistical convergence of sequences of closed sets in metric spaces ⋮ Rough weighted statistical convergence on locally solid Riesz spaces ⋮ The degree of roughness ⋮ Statistical convergence in probabilistic generalized metric spaces w.r.t. strong topology ⋮ Measure theory of statistical convergence ⋮ Influence of θ-metric spaces on the diameter of rough weighted I2-limit set ⋮ Different behaviors of rough weighted statistical limit set under unbounded moduli ⋮ Effects on rough I-lacunary statistical convergence to induce the weighted sequence

Cites Work

• Statistical Limit Points
• ON STATISTICAL CONVERGENCE
• THE STATISTICAL AND STRONG p-CESARO CONVERGENCE OF SEQUENCES
• Statistical limit superior and limit inferior
• Statistical cluster points and turnpike^*
• Sur la convergence statistique
• Statistical cluster points and turnpike theorem in nonconvex problems.
• Unnamed Item