Two new sequence spaces generated by the composition of mth order generalized difference matrix and lambda matrix
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2014
- Doi Numarası: 10.1186/1029-242x-2014-274
- Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Erciyes Üniversitesi Adresli: Evet
Özet
In this work, we introduce two sequence spaces c(0)(lambda) (G(m)) and c(lambda) (G(m)) generated by the composition of mth order generalized difference matrix and lambda matrix and define an isomorphism between new sequence spaces and classical sequence spaces. Afterward, we investigate inclusion relations and obtain the Schauder basis of those spaces. Furthermore, we determine their alpha-, beta-, and gamma-duals. Lastly, we characterize some matrix classes related to those spaces.