Doublesequence transformations that guarantee a given rate of p-convergence
Yükleniyor...
Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper the following sequence space is presented. Let [t] be a positive double sequence and define the sequence space Omega '' (t) = {complex sequences x : x(k,l) = O(t(k,l))}. The set of geometrically dominated double sequences is defined as G ''-U(r,s is an element of(0,1))G(r,s) where G (r,s) - {complex sequences x : x(k,l) = O(r(k)s(l))} for each r,s in the interval (0, 1). Using this definition, four dimensional matrix characterizations of l(infinity,infinity), c '', and c(0)'' into G '' and into Omega ''(t) are presented. In addition to these definitions and characterizations it should be noted that this ensure a rate of converges of at least as fast as [t]. Other natural implications will also be presented.
Açıklama
Anahtar Kelimeler
Double Sequences, Geometrically Dominated Double Sequences, Pringsheim Convergent, Rate Of Convergence
Kaynak
Faculty of Sciences and Mathematics
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
25
Sayı
2
Künye
Patterson, R., & Savaş, E. (2011). Double Sequence Transformations That Guarantee A Given Rate Of P-Convergence. Filomat, 25(2), 129–135.
