Asymptotic equivalence of double sequences
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Date
2012
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Access Rights
info:eu-repo/semantics/openAccess
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 − 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.
Description
Keywords
Divergent Double Sequences, Subsequences of a Double Sequences, Pringsheim Limit Point, P-Convergent, P-Divergent, RH-Regular
Journal or Series
Hacettepe Journal of Mathematics and Statistics
WoS Q Value
Q3
Scopus Q Value
Q3
Volume
41
Issue
4
Citation
Patterson, R. F., & Savaş, E. (2012). Asymptotic Equivalence of Double Sequences. Hacettepe Journal of Mathematics and Statistics, 41(4), 487–497.
