Regularity characterization of asymptotically probability equivalent sequences

Patterson R. F., Savaş E.

Applied Mathematics Letters, cilt.22, sa.10, ss.1491-1495, 2009 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 10
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.aml.2009.01.057
  • Dergi Adı: Applied Mathematics Letters
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1491-1495
  • Anahtar Kelimeler: Asymptotically, Equivalent sequences, Regular matrix
  • Uşak Üniversitesi Adresli: Hayır

Özet

The notion of asymptotically equivalent sequences was presented by Pobyvanets in 1980. Using this definition, he presented Silverman-Toeplitz-type matrix conditions that ensure that a summability matrix preserves asymptotic equivalency. This work begins with an extension of Pobyvanets' definition of convergence in probability. This definition is also used to present Silverman-Toeplitz-type conditions for ensuring that a summability matrix preserves asymptotic probability equivalence. In addition, we shall also present a Marouf-type characterization of such a sequence space. © 2009 Elsevier Ltd. All rights reserved.