Matrix summability of statistically p-convergence sequences
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Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Matrix summability is arguable the most important tool used to characterize sequence spaces. In 1993 Kolk presented such a characterization for statistically convergent sequence space using nonnegative regular matrix. The goal of this paper is extended Kolk's results to double sequence spaces via four dimensional matrix transformation. To accomplish this goal we begin by presenting the following multidimensional analog of Kolk's Theorem : Let X be a section-closed double sequence space containing e '' and Y an arbitrary se, quence space. Then B is an element of (st(A)(2) boolean AND X, Y) if and only if B is an element of (c '' boolean AND X, Y) and B-[KxK] is an element of (X, Y) (delta(A) (K x K) = 0). In addition, to this result we shall also present implication and variation of this theorem.
Açıklama
Anahtar Kelimeler
P-Convergent, Matrix Transformation, Statistical Convergence
Kaynak
Filomat
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
25
Sayı
4
