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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 18 Issue: 3

Investigations into $\lambda$-Statistical Convergence in $\mathscr{A}$-Metric Spaces

Ramazan Sunar(T.C. MİLLİ EĞİTİM BAKANLIĞI)0000-0001-8107-5618
Pages
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Publication Date
2026-10-13
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AI Summary & Key Takeaways

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

Moreover, the relationships among these concepts are systematically examined.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the concept of statistical convergence in $\mathscr{A}$-metric spaces is revisited and generalized via $(V, \lambda)$-summability.
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Key Findings & Data:Within this framework, the notions of $\lambda$-statistical convergence, $\lambda$-statistical $\mathscr{A}$-Cauchy sequences, and strongly $\mathscr{A}(V,\lambda)$-summable sequences in $\mathscr{A}$-metric spaces are introduced.
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Conclusion & Impact:Moreover, the relationships among these concepts are systematically examined.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$\lambda$-Statistical convergence · Cauchy sequence · $\mathscr{A}$-metric spaces

Abstract

In this study, the concept of statistical convergence in $\mathscr{A}$-metric spaces is revisited and generalized via $(V, \lambda)$-summability. Within this framework, the notions of $\lambda$-statistical convergence, $\lambda$-statistical $\mathscr{A}$-Cauchy sequences, and strongly $\mathscr{A}(V,\lambda)$-summable sequences in $\mathscr{A}$-metric spaces are introduced. Moreover, the relationships among these concepts are systematically examined.

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Cite This Article

Sunar, R. (2026). Investigations into $\lambda$-Statistical Convergence in $\mathscr{A}$-Metric Spaces. Turkish Journal of Mathematics and Computer Science, Volume: 18 Issue: 3. https://doi.org/10.47000/tjmcs.1803585

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