Trisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameter
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http://hdl.handle.net/10045/36858
| Títol: | Trisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameter |
|---|---|
| Autors: | Cañete, Antonio | Miori, Cinzia | Segura Gomis, Salvador |
| Grups d'investigació o GITE: | Curvas Alpha-Densas. Análisis y Geometría Local |
| Centre, Departament o Servei: | Universidad de Alicante. Departamento de Análisis Matemático |
| Paraules clau: | Fencing problems | 3-rotationally symmetric convex body | Maximum relative diameter |
| Àrees de coneixement: | Geometría y Topología |
| Data de publicació: | 24-d’abril-2014 |
| Editor: | Elsevier |
| Citació bibliogràfica: | Journal of Mathematical Analysis and Applications. 2014, Accepted Manuscript, Available online 24 April 2014. doi:10.1016/j.jmaa.2014.04.041 |
| Resum: | In this work we study the fencing problem consisting of finding a trisection of a 3-rotationally symmetric planar convex body which minimizes the maximum relative diameter. We prove that an optimal solution is given by the so-called standard trisection. We also determine the optimal set giving the minimum value for this functional and study the corresponding universal lower bound. |
| Patrocinadors: | The first author is partially supported by MCyT research project MTM2010-21206-C02-01. The second author is partially supported by MINECO (Ministerio de Economía y Competitividad) and FEDER (Fondo Europeo de Desarrollo Regional) project MTM2012-34037 and Fundación Séneca project 04540/GERM/06, Spain. This research is a result of the activity developed within the framework of the Programme in Support of Excellence Groups of the Región de Murcia, Spain, by Fundación Séneca, Regional Agency for Science and Technology (Regional Plan for Science and Technology 2007-2010). |
| URI: | http://hdl.handle.net/10045/36858 |
| ISSN: | 0022-247X (Print) | 1096-0813 (Online) |
| DOI: | 10.1016/j.jmaa.2014.04.041 |
| Idioma: | eng |
| Tipus: | info:eu-repo/semantics/article |
| Revisió científica: | si |
| Versió de l'editor: | http://dx.doi.org/10.1016/j.jmaa.2014.04.041 |
| Apareix a la col·lecció: | INV - CADAGL - Artículos de Revistas |
Arxius per aquest ítem:
| Arxiu | Descripció | Tamany | Format | |
|---|---|---|---|---|
 2014_Canete_etal_JMAA.pdf | Accepted Manuscript (acceso abierto) | 343,72 kB | Adobe PDF | Obrir Vista prèvia |
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