On some (C_λ, 1)(E_λ, q) ideal convergent sequence spaces

Ekrem Aljimi^a, Penpark Sirimark^b,*

ABSTRACT: In this paper, we introduce a new (C_λ, 1)(Eλ,q) ideal convergence and new sequence spaces C^l_{(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 C^l_{(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 C^l_{(Cλ,1)(Eλ,q)} ⊂ (l_{_∞})^l_{(Cλ,1)(Eλ,q)}

Download PDF

155 Downloads 1888 Views

^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

On some (Cλ, 1)(Eλ, q) ideal convergent sequence spaces

Ekrem Aljimia, Penpark Sirimarkb,*

On some (C_λ, 1)(E_λ, q) ideal convergent sequence spaces

Ekrem Aljimi^a, Penpark Sirimark^b,*