SpringerIranian Journal of Science2731-809530220060914SOME GENERALIZATIONS OF THE SEQUENCE SPACE rp a175190274610.22099/ijsts.2006.2746ENC. AYDINKahramanmaras Sutcu Imam University, Faculty of Science and Arts, Kahramanmaras, 46100, TurkeyF. BASAR2Inonu University, Faculty of Education, Malatya, 44280, TurkeyJournal Article20041004In the present paper, the sequence space ar(u, p) of a non-absolute type is introduced and it is<br />proved that the space ar(u, p) is linearly isomorphic to the Maddox’s space (p).Besides this, the basis is<br />constructed and the α-, β- and γ-duals are computed for the space ar(u, p). Furthermore, some matrix<br />mappings from ar(u, p) to some sequence spaces are characterized. The final section of the paper is devoted to<br />some consequences related to the rotundity of the space ar(u, p).https://ijsts.shirazu.ac.ir/article_2746_f8064e156776d881c9ee08ee3ea6d003.pdf