Strongly Statistical Convergence of Order \alpha in Metric Spaces

Nazlım Deniz Aral

doi:10.17798/bitlisfen.1806899

Strongly Statistical Convergence of Order \alpha in Metric Spaces

Abstract

This paper introduces the concepts of M-strongly statistical convergence and [M]_d^α-summability of order α in metric spaces (X,d), where M denotes a non-negative infinite matrix. The relationship between these newly defined notions and M-strong convergence is examined in detail. Conditions ensuring the uniqueness of limits for M-strongly statistically convergent sequences are established. Also, we propose the definition of M-strongly statistical Cauchy sequences of order α and study their connection to M-strongly statistical convergence. Finally, we introduce M-strongly statistical bounded sequences of order α in metric spaces.

Keywords

Ethical Statement

The study is complied with research and publication ethics.

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Details

Primary Language

English

Subjects

Pure Mathematics (Other)

Journal Section

Research Article

Authors

Nazlım Deniz Aral ^*
0000-0002-8984-2620
Türkiye

Publication Date

June 30, 2026

Submission Date

October 19, 2025

Acceptance Date

January 6, 2026

Published in Issue

Year 2026 Volume: 15 Number: 2

DOI

https://doi.org/10.17798/bitlisfen.1806899

IZ

https://izlik.org/JA44EM93WJ

Cite

RIS / Bibtex

APA

Aral, N. D. (2026). Strongly Statistical Convergence of Order \alpha in Metric Spaces. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 15(2), 647-658. https://doi.org/10.17798/bitlisfen.1806899

AMA

1.Aral ND. Strongly Statistical Convergence of Order \alpha in Metric Spaces. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2026;15(2):647-658. doi:10.17798/bitlisfen.1806899

Chicago

Aral, Nazlım Deniz. 2026. “Strongly Statistical Convergence of Order \alpha in Metric Spaces”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 15 (2): 647-58. https://doi.org/10.17798/bitlisfen.1806899.

EndNote

Aral ND (June 1, 2026) Strongly Statistical Convergence of Order \alpha in Metric Spaces. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 15 2 647–658.

IEEE

[1]N. D. Aral, “Strongly Statistical Convergence of Order \alpha in Metric Spaces”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 15, no. 2, pp. 647–658, June 2026, doi: 10.17798/bitlisfen.1806899.

ISNAD

Aral, Nazlım Deniz. “Strongly Statistical Convergence of Order \alpha in Metric Spaces”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 15/2 (June 1, 2026): 647-658. https://doi.org/10.17798/bitlisfen.1806899.

JAMA

1.Aral ND. Strongly Statistical Convergence of Order \alpha in Metric Spaces. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2026;15:647–658.

MLA

Aral, Nazlım Deniz. “Strongly Statistical Convergence of Order \alpha in Metric Spaces”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 15, no. 2, June 2026, pp. 647-58, doi:10.17798/bitlisfen.1806899.

Vancouver

1.Nazlım Deniz Aral. Strongly Statistical Convergence of Order \alpha in Metric Spaces. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2026 Jun. 1;15(2):647-58. doi:10.17798/bitlisfen.1806899