The binomial sequence spaces of nonabsolute type

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Atıf İçin Kopyala

Bisgin M. C.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası:
• Basım Tarihi: 2016
• Doi Numarası: 10.1186/s13660-016-1256-0
• Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

In this paper, we introduce the binomial sequence spaces b(0)(r,s) and b(c)(r,s) of nonabsolute type which include the spaces c(0) and c, respectively. Also, we prove that the spaces b(0)(r,s) and b(c)(r,s) are linearly isomorphic to the spaces c(0) and c, in turn, and we investigate some inclusion relations. Moreover, we obtain the Schauder bases of those spaces and determine their alpha-, beta-, and gamma-duals. Finally, we characterize some matrix classes related to those spaces.