On Multidimensional Ideal Convergence via Matrix Summability Techniques

Rabia Savas

doi:10.47000/tjmcs.1822078

On Multidimensional Ideal Convergence via Matrix Summability Techniques

Abstract

The primary objective of this paper is to provide a comprehensive characterization of the multiplier space associated with the summability fields generated by four-dimensional RH-regular matrices. In order to achieve this goal, we take into account the framework of $\mathfrak{A}$-statistically convergent double sequences and develop $\mathfrak{B}$-summability techniques formulated via ideals. This approach not only extends the classical theory of summability but also creates a broader setting where convergence phenomena can be investigated in greater generality. Furthermore, we explore and establish several fundamental properties of these newly introduced summability methods, with particular emphasis on their structural behavior, inclusion relations, and regularity conditions. Through these investigations, the study aims to contribute both to the theoretical understanding of multiplier spaces and to the potential applications of summability theory in analysis and related fields.

Keywords

References

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Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Authors

Rabia Savas ^*
0000-0002-4911-9067
Türkiye

Publication Date

October 13, 2026

Submission Date

November 11, 2025

Acceptance Date

March 16, 2026

Published in Issue

Year 2026 Volume: 18 Number: 3

DOI

https://doi.org/10.47000/tjmcs.1822078

IZ

https://izlik.org/JA75HN33FP

Cite

RIS / Bibtex

APA

Savas, R. (2026). On Multidimensional Ideal Convergence via Matrix Summability Techniques. Turkish Journal of Mathematics and Computer Science, 18(3), 656-664. https://doi.org/10.47000/tjmcs.1822078

AMA

1.Savas R. On Multidimensional Ideal Convergence via Matrix Summability Techniques. TJMCS. 2026;18(3):656-664. doi:10.47000/tjmcs.1822078

Chicago

Savas, Rabia. 2026. “On Multidimensional Ideal Convergence via Matrix Summability Techniques”. Turkish Journal of Mathematics and Computer Science 18 (3): 656-64. https://doi.org/10.47000/tjmcs.1822078.

EndNote

Savas R (October 1, 2026) On Multidimensional Ideal Convergence via Matrix Summability Techniques. Turkish Journal of Mathematics and Computer Science 18 3 656–664.

IEEE

[1]R. Savas, “On Multidimensional Ideal Convergence via Matrix Summability Techniques”, TJMCS, vol. 18, no. 3, pp. 656–664, Oct. 2026, doi: 10.47000/tjmcs.1822078.

ISNAD

Savas, Rabia. “On Multidimensional Ideal Convergence via Matrix Summability Techniques”. Turkish Journal of Mathematics and Computer Science 18/3 (October 1, 2026): 656-664. https://doi.org/10.47000/tjmcs.1822078.

JAMA

1.Savas R. On Multidimensional Ideal Convergence via Matrix Summability Techniques. TJMCS. 2026;18:656–664.

MLA

Savas, Rabia. “On Multidimensional Ideal Convergence via Matrix Summability Techniques”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 3, Oct. 2026, pp. 656-64, doi:10.47000/tjmcs.1822078.

Vancouver

1.Rabia Savas. On Multidimensional Ideal Convergence via Matrix Summability Techniques. TJMCS. 2026 Oct. 1;18(3):656-64. doi:10.47000/tjmcs.1822078