Investigation of p-Summable Fibonacci-Type Difference Sequence Spaces and Their Duals via Modulus Functions

Sunil K. Sharma, Ravi Kumar, Faruk Özger and Merve Ersoy

Journal of Mathematics, 2026, vol. 2026, 1-10

Abstract: In this paper, we introduce new Fibonacci-type difference sequence spaces defined by a modulus function f, specifically focusing on the sequence space lGu,v,f,p, where p=pk is an arbitrary bounded sequence of positive real numbers. These spaces consist of all sequences whose transforms under the generalized Fibonacci band matrix Gu,v belong to the classical sequence spaces lp and lp. We investigate various algebraic and topological properties of the newly constructed spaces, including their completeness and convergence. Furthermore, the α−, β−, and γ− duals of the space are established.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2026/7491120.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2026/7491120.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7491120

DOI: 10.1155/jom/7491120

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().