Regularity characterization of asymptotically probability equivalent sequences
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Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
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.
Açıklama
Anahtar Kelimeler
Asymptotically, Equivalent sequences, Regular matrix
Kaynak
Applied Mathematics Letters
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
22
Sayı
10
