On matrix summability of spliced sequences and \(A\)-density of points

DOI10.1016/j.laa.2015.08.031zbMath1337.40006OpenAlexW1641362350MaRDI QIDQ890551

Artur Bartoszewicz, Pratulananda Das, Szymon Głąb

Publication date: 10 November 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2015.08.031

zbMATH Keywords

ideal convergencematrix summability method\(A\)-density\(A\)-limit\(A\)-statistical limit point

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) General theorems on summability (40D05) Ideal and statistical convergence (40A35)

Related Items (9)

Unnamed Item ⋮ Capacities and Choquet averages of ultrafilters ⋮ Eggleston's dichotomy for characterized subgroups and the role of ideals ⋮ Different kinds of density ideals ⋮ Representation of ideal convergence as a union and intersection of matrix summability methods ⋮ A characterization of \((\mathcal{I,J})\)-regular matrices ⋮ On spliced sequences and the density of points with respect to a matrix constructed by using a weight function ⋮ Tauberian theorems for ordinary convergence ⋮ On IA-density of points and some of its consequences

Cites Work

• Some further results on ideal convergence in topological spaces
• Remarks on ideal boundedness, convergence and variation of sequences
• Statistical convergence and ideal convergence for sequences of functions
• Ideal version of Egorov's theorem for analytic P-ideals
• Density versions of Schur's theorem for ideals generated by submeasures
• On some questions of Drewnowski and Łuczak concerning submeasures on \(\mathbb N\)
• Analytic ideals and their applications
• Densities and summability
• \(\mathcal I\)-convergence
• On the statistical variation of sequences
• Summability of spliced sequences
• Statistical Limit Points
• The Integrability of Certain Functions and Related Summability Methods
• $I$ and $I^*$-convergence in topological spaces
• ON STATISTICAL CONVERGENCE
• Ideal convergence of bounded sequences
• On spaces with the ideal convergence property
• Sur la convergence statistique

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