Exploring the Z-Spaces of Double Sequences of Scalars: Z2-Spaces

Cenap Duyar and Gökhan Işık

Journal of Mathematics, 2026, vol. 2026, 1-13

Abstract: In this paper, we introduced and investigated the spaces Z2u,w;X of double sequences as natural extensions of the classical sequence spaces Zu,w;X. We characterized the β-duals of these spaces and obtained explicit representations in terms of multiplier spaces and difference-type conditions involving the operators Δkm+. Furthermore, we examined the relationships between weighted mean methods and the β-duals of certain special cases of Z2u,w;X. Several illustrative examples are provided to clarify the structure of the introduced spaces and to demonstrate the applicability of the obtained results. The results presented here generalize a number of known results on Z-spaces from the setting of ordinary sequences to double sequences.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2026/7268682.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2026/7268682.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:7268682

DOI: 10.1155/jom/7268682

Access Statistics for this article

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