Karaisa, AliKarabiyik, Umit2024-02-232024-02-2320171686-0209https://hdl.handle.net/20.500.12452/17924Recently, Mursaleen and Noman constructed new sequence spaces by using a matrix domain over a normed space [On generalized means and some related sequence spaces, Comput. Math. Appl. 61 (2011) 988-999]. They also studied some topological properties of these spaces. In this work, we generalize the normed sequence space defined by Mursaleen and Noman to paranormed space. Furthermore, we introduce new sequence space over the paranormed space by using the expansion method. Then, we investigate some topological properties. Finally, we introduce generalized means core of a complex-valued sequence prove some inclusion theorems related to this new type of core.eninfo:eu-repo/semantics/closedAccessParanormed Sequence SpaceAlpha-, Beta And Gamma-DualsCore TheoremsGeneralized MeansArticle1536416542-s2.0-85041961809Q4WOS:000422728100005