Generating new ideals using weighted density via modulus functions

DOI10.1016/j.indag.2018.05.002zbMath1439.28002OpenAlexW2803430390MaRDI QIDQ1782255

Kumardipta Bose, Adam Kwela, Pratulananda Das

Publication date: 20 September 2018

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2018.05.002

zbMATH Keywords

weight functionmodulus functionBorel complexitydensity idealgeneralized density\(P\)-ideal

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Measures of information, entropy (94A17) Other connections with logic and set theory (28E15)

Related Items (5)

I-lacunary statistical convergence of weighted g via modulus functions in 2-normed spaces ⋮ Some further remarks on characterized subgroups generated by modular simple density ⋮ Erdős-Ulam ideals vs. simple density ideals ⋮ Different kinds of density ideals ⋮ Generating subgroups of the circle using a generalized class of density functions

Cites Work

• Generalized kinds of density and the associated ideals
• Restricting statistical convergence
• Analytic ideals and their applications
• Densities and summability
• \(f\)-statistical convergence, completeness and \(f\)-cluster points
• Density by moduli and statistical convergence
• The Structure of the Real Line
• Analytic quotients: theory of liftings for quotients over analytic ideals on the integers
• Analytic Ideals
• Sur la convergence statistique

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