Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals
In this paper, the Nörlund–Orlicz difference sequence space Nt(F,Δmn,u,q) of nonabsolute type is introduced as a domain of Nörlund means which is isomorphic to the space ℓ(p) and the basis of the space is constructed. Additionally, the α−, β−, and γ-duals of the spaces are computed and their matrix...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/38096/ http://psasir.upm.edu.my/id/eprint/38096/1/38096.pdf |
| _version_ | 1848848782911864832 |
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| author | Kilicman, Adem Raj, Kuldip |
| author_facet | Kilicman, Adem Raj, Kuldip |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, the Nörlund–Orlicz difference sequence space Nt(F,Δmn,u,q) of nonabsolute type is introduced as a domain of Nörlund means which is isomorphic to the space ℓ(p) and the basis of the space is constructed. Additionally, the α−, β−, and γ-duals of the spaces are computed and their matrix transformations are given. Finally, the properties like rotundity, modularity of the newly formed spaces are established. |
| first_indexed | 2025-11-15T09:39:59Z |
| format | Article |
| id | upm-38096 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:39:59Z |
| publishDate | 2020 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-380962020-04-14T14:01:41Z http://psasir.upm.edu.my/id/eprint/38096/ Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals Kilicman, Adem Raj, Kuldip In this paper, the Nörlund–Orlicz difference sequence space Nt(F,Δmn,u,q) of nonabsolute type is introduced as a domain of Nörlund means which is isomorphic to the space ℓ(p) and the basis of the space is constructed. Additionally, the α−, β−, and γ-duals of the spaces are computed and their matrix transformations are given. Finally, the properties like rotundity, modularity of the newly formed spaces are established. SpringerOpen 2020 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/38096/1/38096.pdf Kilicman, Adem and Raj, Kuldip (2020) Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals. Advances in Difference Equations, 2020. art. no. 110. pp. 1-16. ISSN 1687-1839; ESSN: 1687-1847 https://link.springer.com/article/10.1186/s13662-020-02567-3 10.1186/s13662-020-02567-3 |
| spellingShingle | Kilicman, Adem Raj, Kuldip Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals |
| title | Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals |
| title_full | Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals |
| title_fullStr | Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals |
| title_full_unstemmed | Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals |
| title_short | Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals |
| title_sort | matrix transformations of norlund–orlicz difference sequence spaces of nonabsolute type and their toeplitz duals |
| url | http://psasir.upm.edu.my/id/eprint/38096/ http://psasir.upm.edu.my/id/eprint/38096/ http://psasir.upm.edu.my/id/eprint/38096/ http://psasir.upm.edu.my/id/eprint/38096/1/38096.pdf |