CERTAIN SEQUENCE SPACES AND RELATED DUALS WITH RESPECT TO THE b-METRIC
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, cilt.31, sa.2, ss.277-294, 2016 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 31 Sayı: 2
- Basım Tarihi: 2016
- Doi Numarası: 10.4134/ckms.2016.31.2.277
- Dergi Adı: COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.277-294
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Yozgat Bozok Üniversitesi Adresli: Evet
Özet
The aim of this paper is to present the classical sets of sequences and related matrix transformations with respect to the b-metric. Also, we introduce the relationships between these sets and their classical forms with corresponding properties including convergence and completeness. Further we determine the duals of the new spaces and characterize matrix transformations on them into the sets of b-bounded, b-convergent and b-null sequences.