A-statistically localized sequences in n-normed spaces

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:69 Issue:2
A-statistically localized sequences in n-normed spaces

A-statistically localized sequences in n-normed spaces

Authors : Mehmet GÜRDAL, Nur SARI, Ekrem SAVAŞ

Pages : 1484-1497

Doi:10.31801/cfsuasmas.704446

View : 25 | Download : 12

Publication Date : 2020-12-31

Article Type : Research Paper

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.
Keywords : A statistical convergence, n normed spaces, A statistical localor of the sequence

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