Asymptotic equivalence of double sequences
Hacettepe Journal of Mathematics and Statistics, cilt.41, sa.4, ss.487-497, 2012 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 41 Sayı: 4
- Basım Tarihi: 2012
- Dergi Adı: Hacettepe Journal of Mathematics and Statistics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.487-497
- Anahtar Kelimeler: Divergent double sequences, Subsequences of a double sequences, Pringsheim limit point, P-convergent, P-divergent, RH-regular
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- İstanbul Ticaret Üniversitesi Adresli: Evet
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, 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.