Asymptotic equivalence of double sequences

Patterson R. F., Savas E.

Hacettepe Journal of Mathematics and Statistics, vol.41, no.4, pp.487-497, 2012 (SCI-Expanded, Scopus, TRDizin) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 4
  • Publication Date: 2012
  • Journal Name: Hacettepe Journal of Mathematics and Statistics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.487-497
  • Keywords: Divergent double sequences, P-convergent, P-divergent, Pring-sheim limit point, RH-regular, Subsequences of a double sequences
  • Uşak University Affiliated: No

Abstract

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.