Research articles
ScienceAsia 47S (2021):ID 130-135 |doi:
10.2306/scienceasia1513-1874.2021.S010
On some (Cλ, 1)(Eλ, q) ideal convergent sequence
spaces
Ekrem Aljimia, Penpark Sirimarkb,*
ABSTRACT: In this paper, we introduce a new (Cλ, 1)(Eλ,q) ideal convergence and new sequence spaces Cl(Cλ,1)(Eλ,q),
(C0)l(Cλ,1)(Eλ,q) and (l∞)l(Cλ,1)(Eλ,q). Moreover, we investigate some topological and geometrical properties of spaces
Cl(Cλ,1)(Eλ,q) , (C0)l(Cλ,1)(Eλ,q) and (l∞)l(Cλ,1)(Eλ,q), showing these spaces as linear and paranormed spaces. Furthermore,
we give some inclusion relations on Cl(Cλ,1)(Eλ,q) ⊂ (l∞)l(Cλ,1)(Eλ,q)
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| a |
Faculty of Computer Science, University of ?Kadri Zeka?, Gjilan 60000 Republic of Kosova |
| b |
Department of Science and Mathematics, Rajamangala University of Technology Isan Surin Campus,
Surin 32000 Thailand |
* Corresponding author, E-mail: penpark.si@rmuti.ac.th
Received 30 Nov 2020, Accepted 28 Apr 2021
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