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On the ideal convergence of subsequences and rearrangements of a real sequence

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Publication:990790
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DOI10.1016/j.aml.2010.05.012zbMath1206.40001OpenAlexW2061066491MaRDI QIDQ990790

Serpil Pehlivan, Hüseyin Albayrak

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.aml.2010.05.012


zbMATH Keywords

rearrangementstatistical convergenceideal convergence\(\mathcal I _{\varphi}\)-continuity\(\mathcal I_{\varphi}\)-limit point\(\varphi \)-density


Mathematics Subject Classification ID

Ideal and statistical convergence (40A35)


Related Items

The set of filter cluster functions ⋮ Statistical convergence and measure convergence generated by a single statistical measure ⋮ Some set theoretic operators preserving ideal Hausdorff convergence ⋮ Ideal invariant injections ⋮ Further remarks on uniform statistical convergence of order \(\alpha\)



Cites Work

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  • Set Theory
  • The Lattice Point Covering Theorem for Rectangles
  • Sur la convergence statistique
  • Generalized Asymptotic Density
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