Some Euler spaces of difference sequences of order m
Küçük Resim Yok
Tarih
2007
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Kizmaz [13] studied the difference sequence spaces l(infinity)(Delta), c(Delta), and c(o)(Delta). Several article dealt with the sets of sequences of m-th order difference of which are bounded, convergent, or convergent to zero. Altay and Basar [5] and Altay, Basar, and Mursaleen [7] introduced the Euler sequence spaces e(o)(r), e(c)(r), and e(infinity)(r), respectively. The main purpose of this article is to introduce the spaces e(o)(r)(Delta((m))), e(c)(r)(Delta((m))), and e(infinity)(r)(Delta((m))) consisting of all sequences whose m(th) order differences are in the Euler spaces e(o)(r), e(c)(r), and e(infinity)(r), respectively. Moreover, the authors give some topological properties and inclusion relations, and determine the alpha-, beta-, and gamma-duals of the spaces e(o)(r)(Delta((m))), e(c)(r)(Delta((m))), and e(infinity)(r)(Delta((m))), and the Schauder basis of the spaces e(o)(r)(Delta((m))), e(c)(r)(Delta((m))). The last section of the article is devoted to the characterization of some matrix mappings on the sequence space e(c)(r)(Delta((m))).
Açıklama
Anahtar Kelimeler
difference sequence spaces of order m, Schauder basis, the alpha-, beta-, and gamma-duals, matrix mappings
Kaynak
Acta Mathematica Scientia
WoS Q Değeri
Q4
Scopus Q Değeri
Cilt
27
Sayı
2
