Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213220220701On $A_{\lambda}$-almost null and $A_{\lambda}$-almost convergent Orlicz sequence spaces307314647210.22075/ijnaa.2022.25043.2896ENSukhdev SinghDepartment of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University0000-0002-0887-6651Toseef AhmedMalikDepartment of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional UniversityJournal Article20211029G. 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.https://ijnaa.semnan.ac.ir/article_6472_2c7d7e6512076f4aaeb122f5f54d5ce2.pdf