Asymptotic equivalence of double sequences

Patterson R. F., Savas E.

Hacettepe Journal of Mathematics and Statistics, cilt.41, sa.4, ss.487-497, 2012 (SCI-Expanded) identifier identifier

  • 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, P-convergent, P-divergent, Pring-sheim limit point, RH-regular, Subsequences of a double sequences
  • Uşak Üniversitesi Adresli: Hayır

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.