Some observations on (λ,μ)-statistically convergent difference sequences in neutrosophic n-normed linear spaces

Rümeysa Akbıyık; Ömer Kişi; Mehmet Gürdal

doi:10.54286/ikjm.1690900

Some observations on (λ,μ)-statistically convergent difference sequences in neutrosophic n-normed linear spaces

Abstract

In this research, we conduct a detailed analysis of (λ,μ)-statistical convergence for differences sequences in neutrosophic n-normed linear spaces. We introduce and examine the concept of (λ,μ)-statistical Cauchy difference sequences and prove that every neutrosophic n-normed linear space is (λ,μ)-statistically complete with respect to such sequences. Moreover, we define and investigate the (V,λ,μ)-summability of difference sequences, aligned with (λ,μ)-statistical convergence under the neutrosophic n-norm. Finally, we obtain the correlation between statistical convergence and (λ,μ)-statistical convergence for difference sequences within this specific framework.

Keywords

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Rümeysa Akbıyık
0009-0004-8751-0325
Türkiye

Ömer Kişi ^*
0000-0001-6844-3092
Türkiye

Mehmet Gürdal
0000-0003-0866-1869
Türkiye

Publication Date

December 30, 2025

Submission Date

May 3, 2025

Acceptance Date

December 9, 2025

Published in Issue

Year 2025 Volume: 7 Number: 2

DOI

https://doi.org/10.54286/ikjm.1690900

IZ

https://izlik.org/JA24FZ84TW

Cite

RIS / Bibtex

APA

Akbıyık, R., Kişi, Ö., & Gürdal, M. (2025). Some observations on (λ,μ)-statistically convergent difference sequences in neutrosophic n-normed linear spaces. Ikonion Journal of Mathematics, 7(2), 1-23. https://doi.org/10.54286/ikjm.1690900

AMA

1.Akbıyık R, Kişi Ö, Gürdal M. Some observations on (λ,μ)-statistically convergent difference sequences in neutrosophic n-normed linear spaces. ikjm. 2025;7(2):1-23. doi:10.54286/ikjm.1690900

Chicago

Akbıyık, Rümeysa, Ömer Kişi, and Mehmet Gürdal. 2025. “Some Observations on (λ,μ)-Statistically Convergent Difference Sequences in Neutrosophic N-Normed Linear Spaces”. Ikonion Journal of Mathematics 7 (2): 1-23. https://doi.org/10.54286/ikjm.1690900.

EndNote

Akbıyık R, Kişi Ö, Gürdal M (December 1, 2025) Some observations on (λ,μ)-statistically convergent difference sequences in neutrosophic n-normed linear spaces. Ikonion Journal of Mathematics 7 2 1–23.

IEEE

[1]R. Akbıyık, Ö. Kişi, and M. Gürdal, “Some observations on (λ,μ)-statistically convergent difference sequences in neutrosophic n-normed linear spaces”, ikjm, vol. 7, no. 2, pp. 1–23, Dec. 2025, doi: 10.54286/ikjm.1690900.

ISNAD

Akbıyık, Rümeysa - Kişi, Ömer - Gürdal, Mehmet. “Some Observations on (λ,μ)-Statistically Convergent Difference Sequences in Neutrosophic N-Normed Linear Spaces”. Ikonion Journal of Mathematics 7/2 (December 1, 2025): 1-23. https://doi.org/10.54286/ikjm.1690900.

JAMA

1.Akbıyık R, Kişi Ö, Gürdal M. Some observations on (λ,μ)-statistically convergent difference sequences in neutrosophic n-normed linear spaces. ikjm. 2025;7:1–23.

MLA

Akbıyık, Rümeysa, et al. “Some Observations on (λ,μ)-Statistically Convergent Difference Sequences in Neutrosophic N-Normed Linear Spaces”. Ikonion Journal of Mathematics, vol. 7, no. 2, Dec. 2025, pp. 1-23, doi:10.54286/ikjm.1690900.

Vancouver

1.Rümeysa Akbıyık, Ömer Kişi, Mehmet Gürdal. Some observations on (λ,μ)-statistically convergent difference sequences in neutrosophic n-normed linear spaces. ikjm. 2025 Dec. 1;7(2):1-23. doi:10.54286/ikjm.1690900