The New Hahn Sequence Space via $(p,q)$-Calculus

Hacer Bilgin Ellidokuzoğlu; Sezer Erdem; Serkan Demiriz

doi:10.33434/cams.1600828

EN

The New Hahn Sequence Space via $(p,q)$-Calculus

Abstract

In this paper, a novel generalized Hahn sequence space, denoted as $h(C(p,q))$, is introduced by utilizing the $(p, q)$-Cesaro matrix. Fundamental properties of this sequence space, such as its completeness and inclusion relations with other well-known sequence spaces, are explored. The duals of this newly constructed sequence space are also determined, providing insights into its structural and functional characteristics. Furthermore, matrix mapping classes of the form $(h(C(p,q)):\mu)$ are characterized for various classical sequence spaces $\mu \in \{c_0, c, \ell_\infty, \ell_1, h\}$, extending the applicability of the proposed space to broader mathematical contexts. The results obtained contribute to the ongoing development of sequence space theory and its applications in functional analysis.

Keywords

Duals, Hahn sequence space, Matrix mappings, (p,q)-calculus, (p,q)-Cesaro matrix

References

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Details

Primary Language

English

Subjects

Pure Mathematics (Other)

Journal Section

Research Article

Authors

Hacer Bilgin Ellidokuzoğlu ^*
0000-0003-1658-201X
Türkiye

Sezer Erdem
0000-0001-9420-8264
Türkiye

Serkan Demiriz
0000-0002-4662-6020
Türkiye

Early Pub Date

February 25, 2025

Publication Date

March 27, 2025

Submission Date

December 13, 2024

Acceptance Date

February 20, 2025

Published in Issue

Year 2025 Volume: 8 Number: 1

DOI

https://doi.org/10.33434/cams.1600828

IZ

https://izlik.org/JA36BG26WE

APA

Bilgin Ellidokuzoğlu, H., Erdem, S., & Demiriz, S. (2025). The New Hahn Sequence Space via $(p,q)$-Calculus. Communications in Advanced Mathematical Sciences, 8(1), 24-35. https://doi.org/10.33434/cams.1600828

AMA

1.Bilgin Ellidokuzoğlu H, Erdem S, Demiriz S. The New Hahn Sequence Space via $(p,q)$-Calculus. Communications in Advanced Mathematical Sciences. 2025;8(1):24-35. doi:10.33434/cams.1600828

Chicago

Bilgin Ellidokuzoğlu, Hacer, Sezer Erdem, and Serkan Demiriz. 2025. “The New Hahn Sequence Space via $(p,q)$-Calculus”. Communications in Advanced Mathematical Sciences 8 (1): 24-35. https://doi.org/10.33434/cams.1600828.

EndNote

Bilgin Ellidokuzoğlu H, Erdem S, Demiriz S (March 1, 2025) The New Hahn Sequence Space via $(p,q)$-Calculus. Communications in Advanced Mathematical Sciences 8 1 24–35.

IEEE

[1]H. Bilgin Ellidokuzoğlu, S. Erdem, and S. Demiriz, “The New Hahn Sequence Space via $(p,q)$-Calculus”, Communications in Advanced Mathematical Sciences, vol. 8, no. 1, pp. 24–35, Mar. 2025, doi: 10.33434/cams.1600828.

ISNAD

Bilgin Ellidokuzoğlu, Hacer - Erdem, Sezer - Demiriz, Serkan. “The New Hahn Sequence Space via $(p,q)$-Calculus”. Communications in Advanced Mathematical Sciences 8/1 (March 1, 2025): 24-35. https://doi.org/10.33434/cams.1600828.

JAMA

1.Bilgin Ellidokuzoğlu H, Erdem S, Demiriz S. The New Hahn Sequence Space via $(p,q)$-Calculus. Communications in Advanced Mathematical Sciences. 2025;8:24–35.

MLA

Bilgin Ellidokuzoğlu, Hacer, et al. “The New Hahn Sequence Space via $(p,q)$-Calculus”. Communications in Advanced Mathematical Sciences, vol. 8, no. 1, Mar. 2025, pp. 24-35, doi:10.33434/cams.1600828.

Vancouver

1.Hacer Bilgin Ellidokuzoğlu, Sezer Erdem, Serkan Demiriz. The New Hahn Sequence Space via $(p,q)$-Calculus. Communications in Advanced Mathematical Sciences. 2025 Mar. 1;8(1):24-35. doi:10.33434/cams.1600828

Cited By

A New Generalization of the Hahn Sequence Space via Speed Sequences λ = λk

Journal of Mathematics

https://doi.org/10.1155/jom/9633026

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