Some generalizations of the sequence space a(p)(r)

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Atıf İçin Kopyala

Aydin C., Basar F.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.30, ss.175-190, 2006 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 30
• Basım Tarihi: 2006
• Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.175-190
• İnönü Üniversitesi Adresli: Evet

Özet

In the present paper, the sequence space a(r)(u, p) of a non-absolute type is introduced and it is proved that the space a(r)(u, p) is linearly isomorphic to the Maddox's space (p). Besides this, the basis is constructed and the alpha-, beta- and gamma-duals are computed for the space d(u, p). Furthermore, some matrix mappings from d(u, p) to some sequence spaces are characterized. The final section of the paper is devoted to some consequences related to the rotundity of the space d(u, p).