A New Sequence Space b_p^{r,s}(Q)

Kübra Topal

doi:10.54974/fcmathsci.1739958

A New Sequence Space b_p^{r,s}(Q)

Abstract

In this work, we introduce a new sequence space constructed wia the composition of quadruple band matrix and the binomial matrix. Where, we symbolize the quadruple band matrix with Q and the new sequence space defined with b_p^{r,s}(Q) . We first show that the space b_p^{r,s}(Q) is linearly isomorphic to the classical space lp and we examine several inclusion relations concerning this space. Moreover, we establish Schauder basis of the space b_p^{r,s}(Q) and determine its the α−, β− and γ− duals. Lastly, we characterize certain matrix classes associated with the space b_p^{r,s}(Q).

Keywords

Ethical Statement

The author declares that the materials and methods used in her study do not require ethical committee and legal special permission.

Thanks

I would like to express my thanks to the anonymous reviewers for their valuable comments.

References

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Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Authors

Kübra Topal ^*
0000-0001-9267-5627
Türkiye

Publication Date

January 31, 2026

Submission Date

July 11, 2025

Acceptance Date

January 6, 2026

Published in Issue

Year 2026 Volume: 7 Number: 1

DOI

https://doi.org/10.54974/fcmathsci.1739958

IZ

https://izlik.org/JA64UD75FH

Cite

RIS / Bibtex

APA

Topal, K. (2026). A New Sequence Space b_p^{r,s}(Q). Fundamentals of Contemporary Mathematical Sciences, 7(1), 91-109. https://doi.org/10.54974/fcmathsci.1739958

AMA

1.Topal K. A New Sequence Space b_p^{r,s}(Q). FCMS. 2026;7(1):91-109. doi:10.54974/fcmathsci.1739958

Chicago

Topal, Kübra. 2026. “A New Sequence Space B_p^{r,s}(Q)”. Fundamentals of Contemporary Mathematical Sciences 7 (1): 91-109. https://doi.org/10.54974/fcmathsci.1739958.

EndNote

Topal K (January 1, 2026) A New Sequence Space b_p^{r,s}(Q). Fundamentals of Contemporary Mathematical Sciences 7 1 91–109.

IEEE

[1]K. Topal, “A New Sequence Space b_p^{r,s}(Q)”, FCMS, vol. 7, no. 1, pp. 91–109, Jan. 2026, doi: 10.54974/fcmathsci.1739958.

ISNAD

Topal, Kübra. “A New Sequence Space B_p^{r,s}(Q)”. Fundamentals of Contemporary Mathematical Sciences 7/1 (January 1, 2026): 91-109. https://doi.org/10.54974/fcmathsci.1739958.

JAMA

1.Topal K. A New Sequence Space b_p^{r,s}(Q). FCMS. 2026;7:91–109.

MLA

Topal, Kübra. “A New Sequence Space B_p^{r,s}(Q)”. Fundamentals of Contemporary Mathematical Sciences, vol. 7, no. 1, Jan. 2026, pp. 91-109, doi:10.54974/fcmathsci.1739958.

Vancouver

1.Kübra Topal. A New Sequence Space b_p^{r,s}(Q). FCMS. 2026 Jan. 1;7(1):91-109. doi:10.54974/fcmathsci.1739958