On generalized statistical convergence of double sequences via ideals

DOI10.1007/s11565-011-0137-1zbMath1309.40001OpenAlexW2066418821MaRDI QIDQ473482

Cemal Belen, Mustafa Yildirim

Publication date: 24 November 2014

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-011-0137-1

zbMATH Keywords

statistical convergenceideal convergencedouble sequence\(\mathcal{I}\)-statistical convergence

Mathematics Subject Classification ID

Inclusion and equivalence theorems in summability theory (40D25) Multiple sequences and series (40B05) Ideal and statistical convergence (40A35)

Related Items (12)

New results on \(\mathscr{I}_2\)-statistically limit points and \(\mathscr{I}_2\)-statistically cluster points of sequences of fuzzy numbers ⋮ Rough \(\mathcal{I}_2\)-lacunary statistical convergence of double sequences ⋮ Unnamed Item ⋮ On \(\mu\)-deferred \(I_2\)-statistical convergence of double sequence of complex uncertain variables ⋮ Strong $I$ AND $I^*$-statistically pre-Cauchy double sequences in Probabilistic Metric Spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On cluster points, continuity, and boundedness associated with the generalized statistical convergence in probabilistic normed spaces ⋮ \({\mathcal{I}} \)-statistical limit points and \({\mathcal{I}} \)-statistical cluster points of double sequences ⋮ ON GENERALIZED STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES VIA IDEALS IN INTUITIONISTIC FUZZY NORMED SPACES ⋮ Some new observations on Wijsman \(\mathscr{I}_2\)-lacunary statistical convergence of double set sequences in intuitionistic fuzzy metric spaces ⋮ I2-lacunary strongly summability for multidimensional measurable functions

Cites Work

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• Statistical convergence of double sequences
• On \({\mathcal I}\)-Cauchy sequences
• \(\mathcal I\)-convergence
• A generalized statistical convergence via ideals
• I and I*-convergence of double sequences
• Tauberian theorems for Cesàro summable double sequences
• On (λ,µ)-statistical convergence of double sequences on intuitionistic fuzzy normed spaces
• Über die verallgemeinerte de la Vallée-Poussinsche summierbarkeit allgemeiner Orthogonalreihen
• Sur la convergence statistique

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