A note on strong matrix summability via ideals

DOI10.1016/j.aml.2011.10.012zbMath1251.40002OpenAlexW2060920497MaRDI QIDQ429195

Sudipta Dutta, Pratulananda Das, Ekrem Savaş

Publication date: 26 June 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.10.012

zbMATH Keywords

Orlicz functionidealfilter\(A^{I}\)-statistical convergencestrong \(A^{I}\)-summability

Mathematics Subject Classification ID

Absolute and strong summability (40F05) Ideal and statistical convergence (40A35) Summability methods using statistical convergence (40G15)

Related Items (22)

On I -lacunary statistical convergence of weight g of fuzzy numbers ⋮ On lacunary double statistical convergence in locally solid Riesz spaces ⋮ Unnamed Item ⋮ I-lacunary statistical convergence of weighted g via modulus functions in 2-normed spaces ⋮ $$\mathcal {I}_\lambda $$ -double Statistically Convergent Sequences in Topological Groups ⋮ Unnamed Item ⋮ I θ -statistical and p-Cesàro summability of sequences of fuzzy numbers ⋮ \(A\)-statistical cluster points in finite dimensional spaces and application to turnpike theorem ⋮ On cluster points, continuity, and boundedness associated with the generalized statistical convergence in probabilistic normed spaces ⋮ \(\mathcal{I}_\lambda\)-double statistical convergence of order \(\alpha\) in topological groups ⋮ \(A\)-cluster points via ideals ⋮ On $$\mathcal {I}$$-Statistically Order Pre Cauchy Sequences in Riesz Spaces ⋮ Unnamed Item ⋮ On I_λ-Statistical Convergence in Locally Solid Riesz Spaces ⋮ Extremal \(A\)-statistical limit points via ideals ⋮ Summability and Convergence Using Ideals ⋮ Extending asymmetric convergence and Cauchy condition using ideals ⋮ I-lacunary summability function of order α ⋮ Iλ-statistically convergent functions of order α ⋮ On spliced sequences and the density of points with respect to a matrix constructed by using a weight function ⋮ On I-lacunary statistical convergence of weight g of sequences of sets ⋮ On IA-density of points and some of its consequences

Cites Work

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• \(\mathcal I\)-convergence
• Strong \(A\)-summability and \(A\)-statistical convergence
• On statistical \(A\)-summability
• A generalized statistical convergence via ideals
• The Integrability of Certain Functions and Related Summability Methods
• $I$ and $I^*$-convergence in topological spaces
• On Strong Matrix Summability with Respect to a Modulus and Statistical Convergence
• ON STATISTICAL CONVERGENCE
• Sequence spaces defined by a modulus
• Matrix Summability of Statistically Convergent Sequences
• SPACES OF STRONGLY SUMMABLE SEQUENCES
• FK Spaces in Which the Sequence of Coordinate Vectors is Bounded
• Sur la convergence statistique

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