A-statistically localized sequences in n-normed spaces
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, cilt.69, sa.2, ss.1484-1497, 2020 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 69 Sayı: 2
- Basım Tarihi: 2020
- Doi Numarası: 10.31801/cfsuasmas.704446
- Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1484-1497
- Anahtar Kelimeler: A-statistical convergence, n-normed spaces, A-statistical localor of the sequence, ORDER ALPHA, CONVERGENCE, APPROXIMATION, SUMMABILITY, KOROVKIN, OPERATOR
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In 1974, Krivonosov de.ned the concept of localized sequence that is de.ned as a generalization of Cauchy sequence in metric spaces. In this present work, the A-statistically localized sequences in n-normed spaces are de.ned and some main properties of A-statistically localized sequences are given. Also, it is shown that a sequence is A-statistically Cauchy iff its A-statistical barrier is equal to zero. Moreover, we de.ne the uniformly A-statistically localized sequences on n-normed spaces and investigate its relationship with A-statistically Cauchy sequences.