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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 73 Issue: 3

On ideal bounded sequences

Leila Miller-van Wieren(INTERNATIONAL UNIVERSITY OF SARAJEVO)0000-0002-7621-9231
Pages
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Publication Date
2024-09-27
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

For this purpose, we use Lebesgue measure and Baire category to measure size.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study the notion of ideal bounded sequences, related to a given ideal, generalizing an earlier concept known as statistical boundedness of a sequence.
📊
Key Findings & Data:We proceed to prove some results connecting ideal boundedness of a sequence to that of its subsequences.
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Conclusion & Impact:For this purpose, we use Lebesgue measure and Baire category to measure size.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Ideal · ideal boundedness · subsequence

Abstract

In this paper, we study the notion of ideal bounded sequences, related to a given ideal, generalizing an earlier concept known as statistical boundedness of a sequence. We proceed to prove some results connecting ideal boundedness of a sequence to that of its subsequences. For this purpose, we use Lebesgue measure and Baire category to measure size.

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Cite This Article

Wieren, L. M. (2024). On ideal bounded sequences. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 73 Issue: 3. https://doi.org/10.31801/cfsuasmas.1474890

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