Savasci, Medine YesilkayagilBasar, Feyzi2024-08-042024-08-0420230350-1302https://doi.org/10.2298/PIM2328019Yhttps://hdl.handle.net/11616/101804The sequence space l(p) was defined by I. J. Maddox, Spaces of strongly summable sequences, Quart. J. Math. Oxford (2), 18 (1967), 345-355. Here, we introduce the paranormed Cesaro sequence space l(C-alpha, p) of order alpha, of non-absolute type as the domain of Cesaro mean C-alpha of order alpha and prove that the spaces l (C-alpha, p) and l(p) are linearly paranorm isomorphic. Besides this, we compute the alpha-, beta- and gamma-duals of the space l(C-alpha, p) and construct the basis of the space l(C-alpha, p) together with the characterization of the classes of matrix transformations from the space l(C-alpha, p) into the spaces l(infinity) of bounded sequences and f of almost convergent sequences, and any given sequence space Y, and from a given sequence space Y into the sequence space l(C-alpha, p). Finally, we emphasize on some geometric properties of the space l(C-alpha, p).eninfo:eu-repo/semantics/openAccessparanormed sequence spacealpha-, beta-and gamma-duals and matrix mappingsArticle114128193810.2298/PIM2328019Y2-s2.0-85184473822Q4WOS:001136974800003Q4