Hahn Sequence Space of Modals

The history of modal intervals goes back to the very first publications on the topic of interval calculus. The modal interval analysis is used in Computer graphics and Computer Aided Design (CAD), namely, the computation of narrow bounds on Bezier and B-Spline curves. Since modal intervals are used...

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Detalles Bibliográficos
Autores principales: Balasubramanian, T., Zion Chella Ruth, S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4897143/
https://www.ncbi.nlm.nih.gov/pubmed/27382628
http://dx.doi.org/10.1155/2014/974934
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author Balasubramanian, T.
Zion Chella Ruth, S.
author_facet Balasubramanian, T.
Zion Chella Ruth, S.
author_sort Balasubramanian, T.
collection PubMed
description The history of modal intervals goes back to the very first publications on the topic of interval calculus. The modal interval analysis is used in Computer graphics and Computer Aided Design (CAD), namely, the computation of narrow bounds on Bezier and B-Spline curves. Since modal intervals are used in many fields, we introduce a new sequence space h(gI) called the Hahn sequence space of modal intervals. We have given some new definitions and theorems. Some inclusion relation and some topological properties of this space are investigated. Also dual spaces of this space are computed.
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spelling pubmed-48971432016-07-05 Hahn Sequence Space of Modals Balasubramanian, T. Zion Chella Ruth, S. Int Sch Res Notices Research Article The history of modal intervals goes back to the very first publications on the topic of interval calculus. The modal interval analysis is used in Computer graphics and Computer Aided Design (CAD), namely, the computation of narrow bounds on Bezier and B-Spline curves. Since modal intervals are used in many fields, we introduce a new sequence space h(gI) called the Hahn sequence space of modal intervals. We have given some new definitions and theorems. Some inclusion relation and some topological properties of this space are investigated. Also dual spaces of this space are computed. Hindawi Publishing Corporation 2014-11-09 /pmc/articles/PMC4897143/ /pubmed/27382628 http://dx.doi.org/10.1155/2014/974934 Text en Copyright © 2014 T. Balasubramanian and S. Zion Chella Ruth. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Balasubramanian, T.
Zion Chella Ruth, S.
Hahn Sequence Space of Modals
title Hahn Sequence Space of Modals
title_full Hahn Sequence Space of Modals
title_fullStr Hahn Sequence Space of Modals
title_full_unstemmed Hahn Sequence Space of Modals
title_short Hahn Sequence Space of Modals
title_sort hahn sequence space of modals
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4897143/
https://www.ncbi.nlm.nih.gov/pubmed/27382628
http://dx.doi.org/10.1155/2014/974934
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