[l_{p}]_{e.r} Euler-Riesz Difference Sequence Spaces
Yazarlar (2)
Türkiye
Prof. Dr. Serkan DEMİRİZ
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
| Makale Türü | Özgün Makale |
| Makale Alt Türü | ESCI dergilerinde yayınlanan tam makale |
| Dergi Adı | Analysis in Theory and Applications |
| Dergi ISSN | 1672-4070 Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | Emerging Sources Citation Index |
| Makale Dili | İngilizce |
| Basım Tarihi | 12-2021 |
| Cilt No | 37 |
| Sayı | 4 |
| Sayfalar | 557 / 571 |
| DOI Numarası | 10.4208/ata.OA-2017-0068 |
| Makale Linki | https://doc.global-sci.org/uploads/Issue/ATA/v37n4/374_557.pdf?1637638803 |
| Özet |
| Baar and Braha [1], introduced the sequence spaces l(infinity), C and C-0 of Euler- Cesaro bounded, convergent and null difference sequences and studied their somere properties. Then, in [2], we introduced the sequence spaces [l(infinity)] and [c](e.r) and [c(0)](e.r), of Euler-Riesz bounded, convergent and null difference sequences by using the composition of the Euler mean E-1 and Riesz mean R-q with backward difference operator Delta. The main purpose of this study is to introduce the sequence space [l(p)](e.r), of Euler-Riesz p absolutely convergent series, where 1 <= p < infinity, difference sequences by using the composition of the Euler mean El and Riesz mean R-q with backward difference operator Delta. Furthermore, the inclusion l(p) subset of [(p)](e.r), hold, the basis of the sequence space [l(p)](e.r) is constucted and alpha, -beta- and gamma- duals of the space are determined. Finally, the classes of matrix transformations from the [l(p)](e.r) Euler-Riesz difference sequence space to the spaces l(infinity),,c and c(0) are characterized. We devote the final section of the paper to "examine some geometric properties of the space [l(p)](e.r.) |
| Anahtar Kelimeler |
| Composition of summability methods | Riesz mean of order one | Euler mean of order one | backward difference operator | sequence space | BK space | Schauder basis | beta-duals | matrix transformations |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 2 |
| Google Scholar | 18 |