On $A_{\lambda}$-almost null and $A_{\lambda}$-almost convergent Orlicz sequence spaces

	On $A_{\lambda}$-almost null and $A_{\lambda}$-almost convergent Orlicz sequence spaces
International Journal of Nonlinear Analysis and Applications
مقاله 29، دوره 13، شماره 2، مهر 2022، صفحه 307-314 اصل مقاله (415.24 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25043.2896
نویسندگان
Sukhdev Singh^* ؛ Toseef Ahmed Malik
Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University
چکیده
G. Lorentz}. In this paper, some new generalized sequence spaces on $A_\lambda$-almost null \& $A_{\lambda}$-almost convergent sequences by Orlicz function are introduced and extended to the paranormed sequence spaces. Some inclusion relation has also been established between the new spaces. In addition, the $\alpha$-, $\beta$- and $\gamma$-duals of these spaces, and the characterization of $\left(A_\lambda(f)(\Delta, M, q): \nu\right)$ \& $\left(\nu: A_\lambda(f)(\Delta, M, q)\right)$ of infinite matrices are also given.
کلیدواژه‌ها
Almost convergence؛ paranormed spaces؛ $\alpha$-, $\beta$- and $\gamma$-duals؛ matrix transformation
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