Title of article
ASYMPTOTIC EQUIVALENCE OF DOUBLE SEQUENCES
Author/Authors
Patterson, Richard F. University of North Florida Jacksonville - Department of Mathematics and Statistics, USA , Savas, Ekrem Istanbul Commerce University - Department of Mathematics, Turkey
From page
487
To page
497
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 P - lim_k,1 x_k,1/y_k,1=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.
Keywords
Divergent double sequences , Subsequences of a double sequences , Pring , sheim limit point , P , convergent , P , divergent , RH , regular.
Journal title
Hacettepe Journal Of Mathematics and Statistics
Journal title
Hacettepe Journal Of Mathematics and Statistics
Record number
2650381
Link To Document