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Campo DC | Valor | idioma |
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dc.contributor.author | Ghandehari, Mostafa | - |
dc.contributor.author | Martini, Horst | - |
dc.date.accessioned | 2019-10-14T12:18:13Z | - |
dc.date.available | 2019-10-14T12:18:13Z | - |
dc.date.issued | 2019 | - |
dc.identifier.uri | http://hdl.handle.net/10662/9841 | - |
dc.description.abstract | This paper contains results on self-circumferences of convex figures in the frameworks of norms and (more general) also of gauges. Let δ(n) denote the self-circumference of a regular polygon with n sides in a normed plane. We will show that δ(n) is monotonically increasing from 6 to 2π if n is twice an odd number, and monotonically decreasing from 8 to 2π if n is twice an even number. Calculations of self-circumferences for the case that n is odd as well as inequalities for the self-circumference of some irregular polygons are also given. In addition, properties of the mixed area of a plane convex body and its polar dual are used to discuss the self-circumference of convex curves. | es_ES |
dc.format.extent | 10 p. | es_ES |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | eng | es_ES |
dc.publisher | Universidad de Extremadura | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Gauge | es_ES |
dc.subject | Minkowski geometry | es_ES |
dc.subject | Normed plane | es_ES |
dc.subject | Polygonal gauges | es_ES |
dc.subject | Radon curve | es_ES |
dc.subject | Self-circumference | es_ES |
dc.subject | Self-perimeter | es_ES |
dc.subject | Calibre | es_ES |
dc.subject | Geometría de Minkowski | es_ES |
dc.subject | Plano normado | es_ES |
dc.subject | Medidores poligonales | es_ES |
dc.subject | Curva de radón | es_ES |
dc.subject | Autoperímetro | es_ES |
dc.subject | Autocircunferencia | es_ES |
dc.title | On self-circumferences in Minkowski planes | es_ES |
dc.type | article | es_ES |
dc.description.version | peerReviewed | es_ES |
europeana.type | TEXT | en_US |
dc.rights.accessRights | openAccess | es_ES |
dc.subject.unesco | 1202.03 Álgebra y Espacios de Banach | es_ES |
dc.subject.unesco | 1204.03 Dominios Convexos | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | Ghandehari, M., Martini, H. (2019). On self-circumferences in Minkowski planes. Extracta Mathematicae 34 (1), 19-28. E-ISSN 2605-5686 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | University of Texas at Arlington.USA | en_US |
dc.contributor.affiliation | Technische Universität Chemnitz (Deutschland) | de_DE |
dc.identifier.doi | 10.17398/2605-5686.34.1.19 | - |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 1 | es_ES |
dc.identifier.publicationfirstpage | 19 | es_ES |
dc.identifier.publicationlastpage | 28 | es_ES |
dc.identifier.publicationvolume | 34 | es_ES |
dc.identifier.e-issn | 2605-5686 | - |
Colección: | Extracta Mathematicae Vol. 34, nº 1 (2019) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_34_1_19.pdf | 296,24 kB | Adobe PDF | Descargar |
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