A category theorem for double sequences
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Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The goal of this paper is to present the following multidimensional category theorem for double sequences via four-dimensional matrix transformations. The set of second category double subsequences of the double sequence (sk,l) is summable by a four-dimensional RH-regular matrix A=(am,n,k,l) if and only if (sk,l) is P-convergent. This theorem is established using multidimensional sliding hump constructions for bounded and unbounded doubles sequences. © 2011 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
Divergent double sequences, P-convergent, P-divergent, Pringsheim limit point, RH-regular, Subsequences of a double sequences
Kaynak
Applied Mathematics Letters
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
24
Sayı
10
