Eduin Rodríguez, Carlos Granados, Judith Bermúdez, "A Generalized of Nörlund Ideal Convergent Double Sequence Spaces," WSEAS Transactions on Mathematics, vol. 20, pp. 562-568, 2021, DOI:10.37394/23206.2021.20.60
Eduin Rodríguez, Carlos Granados, Judith Bermúdez. A Generalized of Nörlund Ideal Convergent Double Sequence Spaces.
WSEAS Transactions on Mathematics. 2021;20:562-568. 10.37394/23206.2021.20.60
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 20, 2021
A Generalized of Nörlund Ideal Convergent Double Sequence Spaces
Authors: , ,
Abstract: In this paper, by using the Nörlund mean Nt and the notion of ideal double convergence, we introduce new sequence spaces c<sub>0</sub><sup>Ι<sub>2</sub></sup> (N<sup>t</sup>), and ℓ<sub>∞</sub><sup>I<sub>2</sub></sup> (N<sup>t</sup>). Besides, we study some topological and algebraic properties on these spaces. Furthermore, some inclusion concerning these spaces are proved.
Keywords:
Nörlund I<sub>2</sub>-convergence, Nörlund I<sub>2</sub>-Cauchy, Nörlund I<sub>2</sub>-bounded
Pages: 562-568 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 20, 2021, Art. #60 DOI: 10.37394/23206.2021.20.60
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