I-localized Sequence in Two Normed Spaces
Malaysian Journal of Mathematical Science, cilt.14, sa.3, ss.491-503, 2020 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 3
- Basım Tarihi: 2020
- Dergi Adı: Malaysian Journal of Mathematical Science
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
- Sayfa Sayıları: ss.491-503
- Anahtar Kelimeler: Ideal convergence, 2-normed space, ideal localor of the sequence, Cauchy sequence, uniformly localized sequence, STATISTICAL CONVERGENCE, IDEAL CONVERGENCE
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this paper, our aim is to introduce the I-localized and the I*-localized sequences in 2-normed spaces and study the fundamental properties of I-localized sequences. Under some conditions, we show that I-localized sequence is an I-Cauchy sequence. Furthermore, the definition of uniformly I-localized sequences in 2-normed spaces is given, and some results related with this concept are obtained.