The minimal $f^g$-statistical convergence and Cauchy degree of a sequence

Tamim Aziz; Sanjoy Ghosal

doi:10.15672/hujms.1589077

Araştırma Makalesi

Yıl 2025, Erken Görünüm, 1 - 8

Tamim Aziz , Sanjoy Ghosal

https://doi.org/10.15672/hujms.1589077

Öz

Proje Numarası

Human Resource Development Group, CSIR, India, through NET-JRF and the grant number is 09/0285(12636)/2021-EMR-I.

Kaynakça

[1] A. Aizpuru, M.C. Listán-García and F. Rambla-Barreno, Density by moduli and statistical convergence, Quaest. Math. 37 (4), 525–530, 2014.

The minimal $f^g$-statistical convergence and Cauchy degree of a sequence

Yıl 2025, Erken Görünüm, 1 - 8

Tamim Aziz , Sanjoy Ghosal

https://doi.org/10.15672/hujms.1589077

Öz

In this paper, we introduce and characterize the rough $f^g$-statistical limit set, minimal $f^g$-statistical convergence degree, and minimal $f^g$-statistical Cauchy degree of a sequence in an arbitrary normed space. We clarify these concepts for normed spaces of any dimension and explore their properties and relationships. Our findings offer a new perspective that differs from some established results.

Anahtar Kelimeler

rough $f^g$-statistical convergence, rough $f^g$-statistical Cauchy sequence, rough $f^g$-statistical limit set, minimal $f^g$-statistical convergence degree, minimal $f^g$-statistical Cauchy degree

Proje Numarası

Human Resource Development Group, CSIR, India, through NET-JRF and the grant number is 09/0285(12636)/2021-EMR-I.

Kaynakça

[1] A. Aizpuru, M.C. Listán-García and F. Rambla-Barreno, Density by moduli and statistical convergence, Quaest. Math. 37 (4), 525–530, 2014.

Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Konular	Operatör Cebirleri ve Fonksiyonel Analiz
Bölüm	Matematik
Yazarlar	Tamim Aziz 0009-0004-5727-0121 Sanjoy Ghosal 0000-0001-8563-1941
Proje Numarası	Human Resource Development Group, CSIR, India, through NET-JRF and the grant number is 09/0285(12636)/2021-EMR-I.
Erken Görünüm Tarihi	11 Nisan 2025
Yayımlanma Tarihi
Gönderilme Tarihi	21 Kasım 2024
Kabul Tarihi	28 Şubat 2025
Yayımlandığı Sayı	Yıl 2025 Erken Görünüm

Kaynak Göster

APA	Aziz, T., & Ghosal, S. (2025). The minimal $f^g$-statistical convergence and Cauchy degree of a sequence. Hacettepe Journal of Mathematics and Statistics1-8. https://doi.org/10.15672/hujms.1589077
AMA	Aziz T, Ghosal S. The minimal $f^g$-statistical convergence and Cauchy degree of a sequence. Hacettepe Journal of Mathematics and Statistics. Published online 01 Nisan 2025:1-8. doi:10.15672/hujms.1589077
Chicago	Aziz, Tamim, ve Sanjoy Ghosal. “The Minimal $f^g$-Statistical Convergence and Cauchy Degree of a Sequence”. Hacettepe Journal of Mathematics and Statistics, Nisan (Nisan 2025), 1-8. https://doi.org/10.15672/hujms.1589077.
EndNote	Aziz T, Ghosal S (01 Nisan 2025) The minimal $f^g$-statistical convergence and Cauchy degree of a sequence. Hacettepe Journal of Mathematics and Statistics 1–8.
IEEE	T. Aziz ve S. Ghosal, “The minimal $f^g$-statistical convergence and Cauchy degree of a sequence”, Hacettepe Journal of Mathematics and Statistics, ss. 1–8, Nisan 2025, doi: 10.15672/hujms.1589077.
ISNAD	Aziz, Tamim - Ghosal, Sanjoy. “The Minimal $f^g$-Statistical Convergence and Cauchy Degree of a Sequence”. Hacettepe Journal of Mathematics and Statistics. Nisan 2025. 1-8. https://doi.org/10.15672/hujms.1589077.
JAMA	Aziz T, Ghosal S. The minimal $f^g$-statistical convergence and Cauchy degree of a sequence. Hacettepe Journal of Mathematics and Statistics. 2025;:1–8.
MLA	Aziz, Tamim ve Sanjoy Ghosal. “The Minimal $f^g$-Statistical Convergence and Cauchy Degree of a Sequence”. Hacettepe Journal of Mathematics and Statistics, 2025, ss. 1-8, doi:10.15672/hujms.1589077.
Vancouver	Aziz T, Ghosal S. The minimal $f^g$-statistical convergence and Cauchy degree of a sequence. Hacettepe Journal of Mathematics and Statistics. 2025:1-8.