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

Ömer Kişi; Rümeysa Akbıyık; Mehmet Gürdal

Makale detayları

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

Yazarlar:

Ömer Kişi | Rümeysa Akbıyık | Mehmet Gürdal

Yayıncı:

Ankara University

Ana Başlıklar:

Operations Research İn Mathematics

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 3, pp.724-748

Belge Tipi:

Makale

Yayın Tarihi:

9/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001326419

pISSN:

1303-5991

Anahtar kelimeler:

Özet:

 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.

 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.

 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.

 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.

Makale detayları

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

Yazarlar:

Ömer Kişi | Rümeysa Akbıyık | Mehmet Gürdal

Yayıncı:

Ankara University

Ana Başlıklar:

Operations Research İn Mathematics

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 3, pp.724-748

Belge Tipi:

Makale

Yayın Tarihi:

9/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001326419

pISSN:

1303-5991

Fuzzy normed spaces

deferred statistical convergence

Cesàro summability

I₂-statistical convergence

Sayı

Makale detayları

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

Yazarlar: Ömer Kişi | Rümeysa Akbıyık | Mehmet Gürdal

Yayıncı: Ankara University

Ana Başlıklar: Operations Research İn Mathematics

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 3, pp.724-748

Belge Tipi: Makale

Yayın Tarihi: 9/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001326419

pISSN: 1303-5991

Fuzzy normed spaces

deferred statistical convergence

Cesàro summability

I₂-statistical convergence

Sayı

Yazarlar:

Ömer Kişi | Rümeysa Akbıyık | Mehmet Gürdal

Yayıncı:

Ankara University

Ana Başlıklar:

Operations Research İn Mathematics

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 3, pp.724-748

Belge Tipi:

Makale

Yayın Tarihi:

9/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001326419

pISSN:

1303-5991