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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 72 Issue: 2

On statistical limit points with respect to power series methods and modulus functions

Canan Sümbül(SİVAS CUMHURİYET ÜNİVERSİTESİ)0000-0002-8905-1247
Cemal Belen(ORDU ÜNİVERSİTESİ)0000-0002-8832-1524
Mustafa Yıldırım(SİVAS CUMHURİYET ÜNİVERSİTESİ)0000-0002-8880-5457
Pages
—
Publication Date
2023-06-23
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Namely, we define $f-J_p$-statistical limit and cluster points of the real sequences and compare the set of these limit points with the set of ordinary points.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we define a new type of statistical limit point using the notions of statistical convergence with respect to the $J_p$ power series method and then we present some examples to show the relations between these points and ordinary limit points.
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Key Findings & Data:After that we also study statistical limit points of a sequence with the help of a modulus function in the sense of the $J_p$ power series method.
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Conclusion & Impact:Namely, we define $f-J_p$-statistical limit and cluster points of the real sequences and compare the set of these limit points with the set of ordinary points.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$J_p$-statistical limit points · $J_p$-statistical cluster points · $f-J_p$-statistical limit points

Abstract

In this study, we define a new type of statistical limit point using the notions of statistical convergence with respect to the $J_p$ power series method and then we present some examples to show the relations between these points and ordinary limit points. After that we also study statistical limit points of a sequence with the help of a modulus function in the sense of the $J_p$ power series method. Namely, we define $f-J_p$-statistical limit and cluster points of the real sequences and compare the set of these limit points with the set of ordinary points.

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Cite This Article

Sümbül, C., Belen, C., Yıldırım, M. (2023). On statistical limit points with respect to power series methods and modulus functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 72 Issue: 2. https://doi.org/10.31801/cfsuasmas.1124351

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