Characterization of asymptotic statistical equivalent double and single sequences

Patterson R. F., Savas E.

Applied Mathematics and Computation, vol.224, pp.484-491, 2013 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 224
  • Publication Date: 2013
  • Doi Number: 10.1016/j.amc.2013.08.074
  • Journal Name: Applied Mathematics and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.484-491
  • Keywords: Asymptotically equivalent, Divergent double sequences, P-convergent, Pringsheim limit point
  • Uşak University Affiliated: No

Abstract

This paper presents a series of four-dimensional matrix characterizations of statistically asymptotically equivalent double and single sequences. These characterizations begins with the presentation of definitions for asymptotically equivalent and asymptotically statistical equivalent of multiple L for double and single sequences. The type of questions we provided answers for are those of the following sort. What are the necessary and sufficient conditions on the entries A that ensure the preservation of statistically asymptotically equivalent rate of convergence. © 2013 Elsevier Inc. All rights reserved.