Characterization of asymptotic statistical equivalent double and single sequences
Applied Mathematics and Computation, vol.224, pp.484-491, 2013 (SCI-Expanded, Scopus)
- 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: Divergent double sequences, Pringsheim limit point, P-convergent, Asymptotically equivalent
- İstanbul Ticaret University Affiliated: Yes
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.