A new type of statistical Cauchy sequence and its relation to Bourbaki completeness
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Dosyalar
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis As
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Bourbaki complete metric spaces are important since they are a class between compact metric spaces and complete metric spaces. The aim of the present paper is to introduce the statistical Bourbaki-Cauchy sequence as a new concept and to give an equivalent condition for a metric space to be Bourbaki complete. Also, Bourbaki complete and Bourbaki-bounded metric spaces are characterized in terms of functions which preserve statistical Bourbaki-Cauchy sequences.
Açıklama
Kara, Emrah Evren/0000-0002-6398-4065; Ilkhan, Merve/0000-0002-0831-1474
WOS: 000439520400001
WOS: 000439520400001
Anahtar Kelimeler
Bourbaki-Cauchy sequences, Bourbaki completeness, Bourbaki boundedness, statistical convergence, asymptotic density
Kaynak
Cogent Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
5
Sayı
1
