On G-continuity
Küçük Resim Yok
Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
ScienceDirect
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
A function f on a topological space is sequentially continuous at a point u if, given a sequence (xn), limxn=u implies that limf(xn)=f(u). This definition was modified by Connor and Grosse-Erdmann for real functions by replacing lim with an arbitrary linear functional G defined on a linear subspace of the vector space of all real sequences. In this paper, we extend this definition to a topological group X by replacing G, a linear functional, with an arbitrary additive function defined on a subgroup of the group of all X-valued sequences and not only give new theorems in this generalized setting but also present theorems that have not been obtained for real functions so far.
Açıklama
Anahtar Kelimeler
Series, Summability, Sequential closure, G-sequential continuity
Kaynak
Computers & Mathematics with Applications
WoS Q Değeri
Q1
Scopus Q Değeri
Cilt
61
Sayı
2
Künye
Çakallı, H. (2011). On G-continuity. Computers & Mathematics with Applications. 61(2), s. 313-318.
