CERTAIN SEQUENCE SPACES AND RELATED DUALS WITH RESPECT TO THE b-METRIC
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, vol.31, no.2, pp.277-294, 2016 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 31 Issue: 2
- Publication Date: 2016
- Doi Number: 10.4134/ckms.2016.31.2.277
- Journal Name: COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.277-294
- Open Archive Collection: AVESIS Open Access Collection
- Yozgat Bozok University Affiliated: Yes
Abstract
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.