On downward half Cauchy sequences
Electronic Notes in Discrete Mathematics, cilt.67, ss.31-35, 2018 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 67
- Basım Tarihi: 2018
- Doi Numarası: 10.1016/j.endm.2018.05.006
- Dergi Adı: Electronic Notes in Discrete Mathematics
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.31-35
- Anahtar Kelimeler: continuity, Sequences, series, summability
- Maltepe Üniversitesi Adresli: Evet
Özet
In this paper, we introduce and investigate the concepts of down continuity and down compactness. A real valued function f on a subset E of R, the set of real numbers is down continuous if it preserves downward half Cauchy sequences. It turns out that the set of down continuous functions is a proper subset of the set of continuous functions.