Consistent classes of double summability methods
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Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In 2000 Patterson proved that if a bounded double sequence is divergent then there are RH-regular matrix methods that sum it to various values. It is now natural to ask the following question. Is there a collection ?. of RH-regular matrix methods which are consistent and such that every bounded double sequence is summable by at least one method in the collection? Similar to Goffman and Petersen's presentation we will present a class of such a collection. In addition, it is clear from the presentation here that it is extremely difficult to find all such collections. However, we have extended this class to a countable collection of RH-regular matrix methods with bounded norm. © 2010 Published by Elsevier Ltd.
Açıklama
Anahtar Kelimeler
Consistent methods, Double sequences, Pringsheim convergent, RH-regular
Kaynak
Applied Mathematics Letters
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
23
Sayı
8
