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

Some results on $I_2$-deferred statistically convergent double sequences in fuzzy normed spaces

Ömer Kişi(BARTIN UNIVERSITY)0000-0001-6844-3092
Rümeysa Akbıyık(BARTIN UNIVERSITY)0009-0004-8751-0325
Mehmet Gürdal(SULEYMAN DEMIREL UNIVERSITY)0000-0003-0866-1869
Sayfa
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Yayın Tarihi
2024-09-27
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We further define $I_2$-deferred statistical limit points and $I_2$-deferred statistical cluster points of a sequence within FNS and explore the relationships among these concepts.

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Amaç & Hipotez:The primary objective of this study is to introduce the concepts of $I_2$-deferred Cesàro summability and $I_2-$ deferred statistical convergence for double sequences in fuzzy normed spaces (FNS).
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Temel Bulgular & Veri:Furthermore, the aim is to explore the connections between these concepts and subsequently establish several theorems pertaining to the notion of $I_2$-deferred statistical convergence in FNS for double sequences.
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Sonuç & Katkı:We further define $I_2$-deferred statistical limit points and $I_2$-deferred statistical cluster points of a sequence within FNS and explore the relationships among these concepts.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fuzzy normed spaces · deferred statistical convergence · Cesàro summability

Abstract

The primary objective of this study is to introduce the concepts of $I_2$-deferred Cesàro summability and $I_2-$ deferred statistical convergence for double sequences in fuzzy normed spaces (FNS). Furthermore, the aim is to explore the connections between these concepts and subsequently establish several theorems pertaining to the notion of $I_2$-deferred statistical convergence in FNS for double sequences. We further define $I_2$-deferred statistical limit points and $I_2$-deferred statistical cluster points of a sequence within FNS and explore the relationships among these concepts.

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Bu Makaleye Atıf Yap

Kişi, Ö., Akbıyık, R., Gürdal, M. (2024). Some results on $I_2$-deferred statistically convergent double sequences in fuzzy normed spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 73 Issue: 3. https://doi.org/10.31801/cfsuasmas.1474229

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