Characterization of asymptotic statistical equivalent double and single sequences

Patterson R. F., Savas E.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 224
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1016/j.amc.2013.08.074
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.484-491
  • Anahtar Kelimeler: Asymptotically equivalent, Divergent double sequences, P-convergent, Pringsheim limit point
  • Uşak Üniversitesi Adresli: Hayır

Özet

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.