On Δ-quasi-slowly oscillating sequences
Computers and Mathematics with Applications, cilt.62, sa.9, ss.3567-3574, 2011 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 62 Sayı: 9
- Basım Tarihi: 2011
- Doi Numarası: 10.1016/j.camwa.2011.09.004
- Dergi Adı: Computers and Mathematics with Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.3567-3574
- Anahtar Kelimeler: Continuity, Quasi-slowly oscillating sequences, Summability
- Maltepe Üniversitesi Adresli: Evet
Özet
A sequence (xn) of points in a topological group is called Δ-quasi-slowly oscillating if (Δxn) is quasi-slowly oscillating, and is called quasi-slowly oscillating if (Δxn) is slowly oscillating. A function f defined on a subset of a topological group is quasi-slowly (respectively, Δ-quasi-slowly) oscillating continuous if it preserves quasi-slowly (respectively, Δ-quasi-slowly) oscillating sequences, i.e. (f(xn)) is quasi-slowly (respectively, Δ-quasi-slowly) oscillating whenever (xn) is. We study these kinds of continuities, and investigate relations with statistical continuity, lacunary statistical continuity, and some other types of continuities in metrizable topological groups. © 2011 Elsevier Ltd. All rights reserved.