On ideal equal convergence

DOI10.2478/S11533-013-0388-4zbMath1315.40004OpenAlexW1989006006MaRDI QIDQ2248112

Marcin Staniszewski, Rafał Filipów

Publication date: 30 June 2014

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-013-0388-4

zbMATH Keywords

uniform convergencestatistical convergenceidealfilterpointwise convergencefilter convergenceideal convergence\(\mathcal I\)-convergenceequal convergenceconvergence of a sequence of functions\(P\)-idealsigma-uniform convergence

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Foundations: limits and generalizations, elementary topology of the line (26A03) Ideal and statistical convergence (40A35)

Related Items (14)

Statistical convergence and measure convergence generated by a single statistical measure ⋮ Ideal equal Baire classes ⋮ On ideal equal convergence. II ⋮ Ideal QN-spaces ⋮ On P-like ideals induced by disjoint families ⋮ P-like properties of meager ideals and cardinal invariants ⋮ Pointwise versus equal (quasi-normal) convergence via ideals ⋮ Principle \(\mathrm{S}_1(\mathcal{P}, \mathcal{R})\): ideals and functions ⋮ Certain aspects of ideal convergence in topological spaces ⋮ Ideal weak QN-spaces ⋮ Spaces not distinguishing ideal convergences of real-valued functions ⋮ Spaces not distinguishing ideal convergences of real-valued functions. II ⋮ Sequence selection properties in \(C_p(X)\) with the double ideals ⋮ Ideal relatively uniform convergence with Korovkin and Voronovskaya types approximation theorems

Cites Work

• Three kinds of convergence and the associated \(\mathcal I\)-Baire classes
• \(\mathcal I\)-convergence
• Some remarks on discrete Baire classes
• Cardinal Invariants of Analytic P-Ideals
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