Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2020 / Cilt: 69 - Sayı: 2
A-STATISTICALLY LOCALIZED SEQUENCES IN n-NORMED SPACES
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 1484–1497
- DOI
- —
Abstract
In 1974, Krivonosov defined the concept of localized sequence that is defined as a generalization of Cauchy sequence in metric spaces. In this present work, the A-statistically localized sequences in n-normed spaces are defined 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 define the uniformly A-statistically localized sequences on n-normed spaces and investigate its relationship with A-statistically Cauchy sequences.