Candan, MuratGunes, Asuman2024-08-042024-08-0420150369-82032250-1762https://doi.org/10.1007/s40010-015-0204-6https://hdl.handle.net/11616/96803The present paper introduces the generalized Riesz difference sequence space r(q)(B-u(p)) that consists of all sequences whose (RuB)-B-q-transforms are in the space l(p), where B stands for generalized difference matrix. Some topological properties of the new brand sequence space have been investigated as well as alpha- beta- and gamma-duals. In addition to this, we have also constructed the basis of r(q)(B-u(p)). At the end of the article, we characterize a matrix class on the sequence space. These results are more general and more comprehensive than the corresponding results in the literature.eninfo:eu-repo/semantics/closedAccessParanormed sequence spaceAlpha-beta- and gamma-dualsMatrix mappingsArticle85226927610.1007/s40010-015-0204-62-s2.0-84930201979Q4WOS:000355207600010Q3