Publication: A New D-Normed Banach Bicomplex BC-Module Derived Using Matrix of Hyperbolic Fibonacci Numbers
| dc.authorscopusid | 57223742447 | |
| dc.authorscopusid | 8866066700 | |
| dc.contributor.author | Deği̇Rmen, N. | |
| dc.contributor.author | Saǧir, B. | |
| dc.date.accessioned | 2025-12-11T00:36:16Z | |
| dc.date.issued | 2025 | |
| dc.department | Ondokuz Mayıs Üniversitesi | en_US |
| dc.department-temp | [Deği̇Rmen] Ni̇Lay, Department of Mathematics, Ondokuz Mayis Üniversitesi, Samsun, Turkey; [Saǧir] Bi̇Rsen, Department of Mathematics, Ondokuz Mayis Üniversitesi, Samsun, Turkey | en_US |
| dc.description.abstract | In this paper, we present a new matrix F∼ = (F∼<inf>nm</inf>)∞<inf>n,m</inf><inf>=1</inf> consisting hyperbolic Fibonacci numbers. Also, we construct new D-normed Banach bicomplex BC-modules l<inf>p</inf>k(BC,F∼) and l<inf>∞</inf>k(BC,F∼) using this matrix. Moreover, we demonstrate that these new BC-modules are isometrically isomorphic to l<inf>p</inf>k (BC) and l<inf>∞</inf>k (BC), respectively. We further study some inclusion theorems for this new type. © 2025 World Scientific and Engineering Academy and Society. All rights reserved. | en_US |
| dc.identifier.doi | 10.37394/23206.2025.24.20 | |
| dc.identifier.endpage | 208 | en_US |
| dc.identifier.issn | 1109-2769 | |
| dc.identifier.issn | 2224-2880 | |
| dc.identifier.scopus | 2-s2.0-105002743260 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.startpage | 203 | en_US |
| dc.identifier.uri | https://doi.org/10.37394/23206.2025.24.20 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12712/37767 | |
| dc.identifier.volume | 24 | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific and Engineering Academy and Society | en_US |
| dc.relation.ispartof | WSEAS Transactions on Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | BC-Linearity | en_US |
| dc.subject | Bicomplex BC-Module | en_US |
| dc.subject | Bicomplex Number | en_US |
| dc.subject | Hyperbolic Fibonacci Number | en_US |
| dc.subject | Inclusion Relation | en_US |
| dc.subject | Sequence Space | en_US |
| dc.title | A New D-Normed Banach Bicomplex BC-Module Derived Using Matrix of Hyperbolic Fibonacci Numbers | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |