Lacunary Statistical Convergence Of Double Sequences In Topological Groups
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Tarih
2014
Yazarlar
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Yayıncı
Springer International Publishing AG
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Recently, Patterson and Sava (Math. Commun. 10:55-61, 2005), defined the lacunary statistical analog for double sequences x = (x(k, I)) as follows: A real double sequences x = (x(k, I)) is said to be P-lacunary statistically convergent to L provided that for each epsilon > 0, P-lim(r,s) 1/h(r,s)vertical bar{(k,I) is an element of/(r,s) : vertical bar x(k, I) - L vertical bar >= epsilon }vertical bar= 0. In this case write st(theta)(2)-lim x = L or x(k, I) -> L(st(theta)(2)). In this paper we introduce and study lacunary statistical convergence for double sequences in topological groups and we shall also present some inclusion theorems.
Açıklama
Anahtar Kelimeler
Double Lacunary; Double Lacunary Statistical Convergence; Topological Groups.
Kaynak
Journal of Inequalities and Applications
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
