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Volume 47S Number 1

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Research articles

ScienceAsia 47S (2021): 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)(,q) ideal convergence and new sequence spaces Cl(,1)(,q), (C0)l(,1)(,q) and (l)l(,1)(,q). Moreover, we investigate some topological and geometrical properties of spaces Cl(,1)(,q) , (C0)l(,1)(,q) and (l)l(,1)(,q), showing these spaces as linear and paranormed spaces. Furthermore, we give some inclusion relations on Cl(,1)(,q) ⊂ (l)l(,1)(,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