A study of Nörlund ideal convergent sequence spaces
The Nörlund matrix Nt in the theory of sequence space was firstly used by Wang. In this paper, by using the Nörlund mean Nt and the notion of ideal convergence, we introduce some new sequence spaces cI 0(Nt), cI (Nt), and lI∞(Nt) as a domain of Nörlund mean. We study some topological and algebraic p...
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
University of Belgrade
2021
|
| Materias: | |
| Acceso en línea: | https://doaj.org/article/6f6b670742d74a83ba1b224065075acd |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| id |
oai:doaj.org-article:6f6b670742d74a83ba1b224065075acd |
|---|---|
| record_format |
dspace |
| spelling |
oai:doaj.org-article:6f6b670742d74a83ba1b224065075acd2021-12-01T13:00:33ZA study of Nörlund ideal convergent sequence spaces0354-02431820-743X10.2298/YJOR200716044Khttps://doaj.org/article/6f6b670742d74a83ba1b224065075acd2021-01-01T00:00:00Zhttp://www.doiserbia.nb.rs/img/doi/0354-0243/2021/0354-02432000044K.pdfhttps://doaj.org/toc/0354-0243https://doaj.org/toc/1820-743XThe Nörlund matrix Nt in the theory of sequence space was firstly used by Wang. In this paper, by using the Nörlund mean Nt and the notion of ideal convergence, we introduce some new sequence spaces cI 0(Nt), cI (Nt), and lI∞(Nt) as a domain of Nörlund mean. We study some topological and algebraic properties on these spaces. Further, some inclusion concerning these spaces are discussed.Khan Vakeel A.Abdullah Sameera A.A.Alshlool Kamal M.A.S.University of Belgradearticlenörlund matrixmatrix transformationnörlund i-convergencenörlund i-cauchynörlund i-boundedManagement information systemsT58.6-58.62ENYugoslav Journal of Operations Research, Vol 31, Iss 4, Pp 483-494 (2021) |
| institution |
DOAJ |
| collection |
DOAJ |
| language |
EN |
| topic |
nörlund matrix matrix transformation nörlund i-convergence nörlund i-cauchy nörlund i-bounded Management information systems T58.6-58.62 |
| spellingShingle |
nörlund matrix matrix transformation nörlund i-convergence nörlund i-cauchy nörlund i-bounded Management information systems T58.6-58.62 Khan Vakeel A. Abdullah Sameera A.A. Alshlool Kamal M.A.S. A study of Nörlund ideal convergent sequence spaces |
| description |
The Nörlund matrix Nt in the theory of sequence space was firstly used by Wang. In this paper, by using the Nörlund mean Nt and the notion of ideal convergence, we introduce some new sequence spaces cI 0(Nt), cI (Nt), and lI∞(Nt) as a domain of Nörlund mean. We study some topological and algebraic properties on these spaces. Further, some inclusion concerning these spaces are discussed. |
| format |
article |
| author |
Khan Vakeel A. Abdullah Sameera A.A. Alshlool Kamal M.A.S. |
| author_facet |
Khan Vakeel A. Abdullah Sameera A.A. Alshlool Kamal M.A.S. |
| author_sort |
Khan Vakeel A. |
| title |
A study of Nörlund ideal convergent sequence spaces |
| title_short |
A study of Nörlund ideal convergent sequence spaces |
| title_full |
A study of Nörlund ideal convergent sequence spaces |
| title_fullStr |
A study of Nörlund ideal convergent sequence spaces |
| title_full_unstemmed |
A study of Nörlund ideal convergent sequence spaces |
| title_sort |
study of nörlund ideal convergent sequence spaces |
| publisher |
University of Belgrade |
| publishDate |
2021 |
| url |
https://doaj.org/article/6f6b670742d74a83ba1b224065075acd |
| work_keys_str_mv |
AT khanvakeela astudyofnorlundidealconvergentsequencespaces AT abdullahsameeraaa astudyofnorlundidealconvergentsequencespaces AT alshloolkamalmas astudyofnorlundidealconvergentsequencespaces AT khanvakeela studyofnorlundidealconvergentsequencespaces AT abdullahsameeraaa studyofnorlundidealconvergentsequencespaces AT alshloolkamalmas studyofnorlundidealconvergentsequencespaces |
| _version_ |
1718405179224621056 |