On Delta-quasi-slowly oscillating sequences
Küçük Resim Yok
Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
PERGAMON-ELSEVIER SCIENCE LTD
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
A sequence (x(n)) of points in a topological group is called Delta-quasi-slowly oscillating if (Delta x(n)) is quasi-slowly oscillating, and is called quasi-slowly oscillating if (Delta x(n)) is slowly oscillating. A function f defined on a subset of a topological group is quasi-slowly (respectively, Delta-quasi-slowly) oscillating continuous if it preserves quasislowly (respectively, Delta-quasi-slowly) oscillating sequences, i.e. (f (x(n))) is quasi-slowly (respectively, Delta-quasi-slowly) oscillating whenever (x(n)) 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. (C) 2011 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
Quasi-slowly oscillating sequences, Summability, Continuity
Kaynak
COMPUTERS & MATHEMATICS WITH APPLICATIONS
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
62
Sayı
9