Citation
Dutta, Hemen and Kilicman, Adem and Altun, Omer
(2016)
Topological properties of some sequences defined over 2-normed spaces.
SpringerPlus, 5 (1).
pp. 1-16.
ISSN 2193-1801
Abstract
The paper investigates some classes of real number sequences over 2-normed spaces defined by means of Orlicz functions, a bounded sequence of strictly positive real numbers, a multiplier and a normal paranormed sequence space. Relevant properties of such classes have been investigated. Moreover, relationships among different such classes of sequences have also been studied under various parameters and conditions. Finally, the spaces are investigated for some other useful properties. The conclusion section provides many interesting facts for further research.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1186/s40064‑016‑3646‑7 |
| Publisher: | SpringerOpen |
| Keywords: | Orlicz function; 2-Norm; Paranormed space; Completeness; Solidity |
| Depositing User: | Ms. Nida Hidayati Ghazali |
| Date Deposited: | 30 Oct 2017 10:40 |
| Last Modified: | 30 Oct 2017 10:40 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1186/s40064‑016‑3646‑7 |
| URI: | http://psasir.upm.edu.my/id/eprint/53141 |
| Statistic Details: | View Download Statistic |
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