Asymptotic equivalence of double sequences
Yükleniyor...
Tarih
2012
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The goal of this paper is to present a four-dimensional matrix characterization of asymptotic equivalence of double sequences. This will be accomplished with the following notion of asymptotic equivalence of double sequences. Two double sequences are asymptotic equivalent if and only if P − limk,l xk,l yk,l = 1, where x and y are selected judicially. Using this notion necessary and sufficient conditions on the entries of a four-dimensional matrix are given to ensure that the transformation will preserve asymptotic equivalence.
Açıklama
Anahtar Kelimeler
Divergent Double Sequences, Subsequences of a Double Sequences, Pringsheim Limit Point, P-Convergent, P-Divergent, RH-Regular
Kaynak
Hacettepe Journal of Mathematics and Statistics
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
41
Sayı
4
Künye
Patterson, R. F., & Savaş, E. (2012). Asymptotic Equivalence of Double Sequences. Hacettepe Journal of Mathematics and Statistics, 41(4), 487–497.
