Demiriz, SerkanCakan, Celal2024-08-042024-08-0420111085-3375https://doi.org/10.1155/2011/213878https://hdl.handle.net/11616/95358We introduce the new difference sequence space a(p)(r)(Delta). Further, it is proved that the space a(p)(r)(Delta) is the BK-space including the space bv(p), which is the space of sequences of pbounded variation. We also show that the spaces a(p)(r)(Delta), and l(p) are linearly isomorphic for 1 <= p < infinity. Furthermore, the basis and the alpha-, beta-and gamma-duals of the space a(p)(r)(Delta) are determined. We devote the final section of the paper to examine some geometric properties of the space a(p)(r)(Delta).eninfo:eu-repo/semantics/openAccessIncludeL(P)Article10.1155/2011/2138782-s2.0-79959234023Q4WOS:000298435600001Q1