Some Euler spaces of difference sequences of order m* * The present article is partly based on the doctoral thesis of first author
Küçük Resim Yok
Tarih
2007
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Kizmaz [13] studied the difference sequence spaces ??(?), c(?), and c0(?). Several article dealt with the sets of sequences of m-th order difference of which are bounded, convergent, or convergent to zero. Altay and Başar [5] and Altay, Başar, and Mursaleen [7] introduced the Euler sequence spaces er0, erc, and er?, respectively. The main purpose of this article is to introduce the spaces er0(?m), erc(?m), and er?(?m) consisting of all sequences whose mth order differences are in the Euler spaces er0, erc, and er?, respectively. Moreover, the authors give some topological properties and inclusion relations, and determine the ?-, ?-, and ?-duals of the spaces er0(?m), erc(?m), and er?(?m), and the Schauder basis of the spaces er0(?m), erc(?m). The last section of the article is devoted to the characterization of some matrix mappings on the sequence space erc(?m). © 2007 Wuhan Institute of Physics and Mathematics.
Açıklama
Anahtar Kelimeler
Difference sequence spaces of order m, matrix mappings, Schauder basis, the ?-, ?-, and ?-duals
Kaynak
Acta Mathematica Scientia
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
27
Sayı
2
