On ı-asymptotically lacunary statistical equivalent sequences
Yükleniyor...
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer International Publishing AG
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This paper presents the following definition, which is a natural combination of the definitions for asymptotically equivalent, I-statistically limit and I-lacunary statistical convergence. Let theta be a lacunary sequence; the two nonnegative sequences x = (x(k)) and y = (y(k)) are said to be I-asymptotically lacunary statistical equivalent of multiple L provided that for every epsilon > 0, and delta > 0, {r is an element of N : 1/h(r)vertical bar{k is an element of l(r) : vertical bar x(k)/y(k) - L vertical bar >=epsilon}vertical bar >=delta}is an element of I (denoted by x (S theta L(I))similar to y) and simply I-asymptotically lacunary statistical equivalent if L = 1.
Açıklama
Anahtar Kelimeler
Asymptotical Equivalent, Ideal Convergence, Lacunary Sequence, Statistical Convergence
Kaynak
Thai Journal of Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
4
Sayı
2
