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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 | ||
| تاریخ دریافت: 07 آبان 1400، تاریخ بازنگری: 06 آذر 1400، تاریخ پذیرش: 21 فروردین 1401 | ||
| 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 | ||
| مراجع | ||
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