TY - JOUR ID - 2746 TI - SOME GENERALIZATIONS OF THE SEQUENCE SPACE rp a JO - Iranian Journal of Science JA - ISTT LA - en SN - 2731-8095 AU - AYDIN, C. AU - BASAR, F. AD - Kahramanmaras Sutcu Imam University, Faculty of Science and Arts, Kahramanmaras, 46100, Turkey AD - 2Inonu University, Faculty of Education, Malatya, 44280, Turkey Y1 - 2006 PY - 2006 VL - 30 IS - 2 SP - 175 EP - 190 KW - Paranormed sequence space KW - α- KW - β- and γ-duals KW - matrix mappings and rotundity of a sequence space DO - 10.22099/ijsts.2006.2746 N2 - In the present paper, the sequence space ar(u, p) of a non-absolute type is introduced and it isproved that the space ar(u, p) is linearly isomorphic to the Maddox’s space 􀁁(p).Besides this, the basis isconstructed and the α-, β- and γ-duals are computed for the space ar(u, p). Furthermore, some matrixmappings from ar(u, p) to some sequence spaces are characterized. The final section of the paper is devoted tosome consequences related to the rotundity of the space ar(u, p). UR - https://ijsts.shirazu.ac.ir/article_2746.html L1 - https://ijsts.shirazu.ac.ir/article_2746_f8064e156776d881c9ee08ee3ea6d003.pdf ER -