A study on Nθ-quasi-cauchy sequences
Abstract and Applied Analysis, cilt.2013, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2013
- Basım Tarihi: 2013
- Doi Numarası: 10.1155/2013/836970
- Dergi Adı: Abstract and Applied Analysis
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Maltepe Üniversitesi Adresli: Evet
Özet
Recently, the concept of N θ -ward continuity was introduced and studied. In this paper, we prove that the uniform limit of N θ -ward continuous functions is N θ -ward continuous, and the set of all N θ -ward continuous functions is a closed subset of the set of all continuous functions. We also obtain that a real function f defined on an interval E is uniformly continuous if and only if (f (α k)) is N θ -quasi-Cauchy whenever (α k) is a quasi-Cauchy sequence of points in E. © 2013 Hüseyin Çakalli and Huseyin Kaplan.