On Some New Generalized Difference Sequence Spaces of Nonabsolute Type
Yazarlar (1)
Prof. Dr. Serkan DEMİRİZ
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
|
| Makale Alt Türü | Diğer hakemli uluslarası dergilerde yayınlanan tam makale |
| Dergi Adı | Journal of Mathematics |
| Dergi ISSN | 2314-4629 Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | Mathematical Reviews, Zentralblatt MATH Database |
| Makale Dili | İngilizce |
| Basım Tarihi | 11-2014 |
| Cilt No | 2014 |
| Sayı | 1 |
| Sayfalar | 1 / 13 |
| DOI Numarası | 10.1155/2014/876813 |
| Özet |
| We define a new triangle matrix W = (w n k ) by the composition of the matrices Λ = ( n k) and B (r, s, t). Also, we introduce the sequence spaces c 0 (B), c (B), l ∞ (B), and l p (B) by using matrix domain of the matrix W on the classical sequence spaces c 0, c, l ∞, and l p, respectively, where 1 ≤ p < ∞. Moreover, we show that the space μ (B) is norm isomorphic to μ for μ ∈ { c 0, c, l ∞, l p }. Furthermore, we establish some inclusion relations concerning those spaces and determine α -, β -, and γ -duals of those spaces and construct the Schauder bases c 0 (B), c (B), and l p (B). Finally, we characterize the classes (μ 1 (B): μ 2) of infinite matrices where μ 1 ∈ { c, c 0, l p } and μ 2 ∈ {l ∞, c, c 0, l p }. |
| Anahtar Kelimeler |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 4 |
| SCOPUS | 3 |
| Google Scholar | 7 |