Topological properties of some sequences defined over 2-normed spaces

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, rel...

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Detalles Bibliográficos
Autores principales: Dutta, Hemen, Kilicman, Adem, Altun, Omer
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5108750/
https://www.ncbi.nlm.nih.gov/pubmed/27900239
http://dx.doi.org/10.1186/s40064-016-3646-7
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author Dutta, Hemen
Kilicman, Adem
Altun, Omer
author_facet Dutta, Hemen
Kilicman, Adem
Altun, Omer
author_sort Dutta, Hemen
collection PubMed
description 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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spelling pubmed-51087502016-11-29 Topological properties of some sequences defined over 2-normed spaces Dutta, Hemen Kilicman, Adem Altun, Omer Springerplus Research 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. Springer International Publishing 2016-11-14 /pmc/articles/PMC5108750/ /pubmed/27900239 http://dx.doi.org/10.1186/s40064-016-3646-7 Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Dutta, Hemen
Kilicman, Adem
Altun, Omer
Topological properties of some sequences defined over 2-normed spaces
title Topological properties of some sequences defined over 2-normed spaces
title_full Topological properties of some sequences defined over 2-normed spaces
title_fullStr Topological properties of some sequences defined over 2-normed spaces
title_full_unstemmed Topological properties of some sequences defined over 2-normed spaces
title_short Topological properties of some sequences defined over 2-normed spaces
title_sort topological properties of some sequences defined over 2-normed spaces
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5108750/
https://www.ncbi.nlm.nih.gov/pubmed/27900239
http://dx.doi.org/10.1186/s40064-016-3646-7
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AT kilicmanadem topologicalpropertiesofsomesequencesdefinedover2normedspaces
AT altunomer topologicalpropertiesofsomesequencesdefinedover2normedspaces

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