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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2020 / Volume: 69 Issue: 2

A-statistically localized sequences in n-normed spaces

Mehmet Gürdal(Süleyman Demirel University)0000-0003-0866-1869
Nur Sarı(Süleyman Demirel University)0000-0002-3639-975X
Ekrem Savaş(USAK UNIVERSITY)0000-0003-2135-3094
Pages
—
Publication Date
2020-12-31
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⚡ TL;DR(Too Long; Didn't Read)

Moreover, we define the uniformly A-statistically localized sequences on n-normed spaces and investigate its relationship with A-statistically Cauchy sequences.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In 1974, Krivonosov defined the concept of localized sequence that is defined as a generalization of Cauchy sequence in metric spaces.
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Key Findings & Data: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.
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Conclusion & Impact:Moreover, we define the uniformly A-statistically localized sequences on n-normed spaces and investigate its relationship with A-statistically Cauchy sequences.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:A-statistical convergence · n-normed spaces · A-statistical localor of the sequence

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.

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Cite This Article

Gürdal, M., Sarı, N., Savaş, E. (2020). A-statistically localized sequences in n-normed spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 69 Issue: 2. https://doi.org/10.31801/cfsuasmas.704446

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