Citation
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
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1186/s13662-020-02567-3 |
| Publisher: | SpringerOpen |
| Keywords: | Orlicz function; Matrix domain; Difference sequence spaces; Nörlund matrix; Alpha-dual; Beta-dual; Gamma-dual; Matrix transformations |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 14 Apr 2020 14:01 |
| Last Modified: | 14 Apr 2020 14:01 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1186/s13662-020-02567-3 |
| URI: | http://psasir.upm.edu.my/id/eprint/38096 |
| Statistic Details: | View Download Statistic |
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