A forgotten little chapter on isoperimetric inequalities. On the fraction of a convex and closed plane area lying outside a circle with which it shares a diameter

Often some interesting or simply curious points are left out when developing a theory. It seems that one of them is the existence of an upper bound for the fraction of area of a convex and closed plane area lying outside a circle with which it shares a diameter, a problem stemming from the theory of...

Descripción completa

Detalles Bibliográficos
Autor: Pacheco Castelao, José Miguel
Tipo de recurso: artículo
Fecha de publicación:2008
País:España
Repositorio:accedaCRIS portal de investigación de la Universidad de las Palmas de Gran Canaria
OAI Identifier:oai:accedacris.ulpgc.es:10553/5235
Acceso en línea:http://hdl.handle.net/10553/5235
Access Level:acceso abierto
Palabra clave:12 Matemáticas
Convex plane area
Isoperimetric inequality
id ES_6d88f4dfb6053d2bdbf74204e92d255f
oai_identifier_str oai:accedacris.ulpgc.es:10553/5235
network_acronym_str ES
network_name_str España
repository_id_str
spelling A forgotten little chapter on isoperimetric inequalities. On the fraction of a convex and closed plane area lying outside a circle with which it shares a diameterPacheco Castelao, José Miguel12 MatemáticasConvex plane areaIsoperimetric inequalityOften some interesting or simply curious points are left out when developing a theory. It seems that one of them is the existence of an upper bound for the fraction of area of a convex and closed plane area lying outside a circle with which it shares a diameter, a problem stemming from the theory of isoperimetric inequalities. In this paper such a bound is constructed and shown to be attained for a particular area. It is also shown that convexity is a necessary condition in order to avoid the whole area lying outside the circle20112018201120182008info:eu-repo/semantics/articleArticleapplication/pdfhttp://hdl.handle.net/10553/5235Revista de la Academia Canaria de Ciencias=Folia Canariensis Academiae Scientiarum, Academia Canaria de Ciencias, ISSN 1130-4723, Vol. XX, nº 1-2, p. 113-118reponame:accedaCRIS portal de investigación de la Universidad de las Palmas de Gran Canariainstname:InglésRevista de la Academia Canaria de Cienciasby-nc-ndinfo:eu-repo/semantics/openAccessoai:accedacris.ulpgc.es:10553/52352025-08-04T10:01:22Z
dc.title.none.fl_str_mv A forgotten little chapter on isoperimetric inequalities. On the fraction of a convex and closed plane area lying outside a circle with which it shares a diameter
title A forgotten little chapter on isoperimetric inequalities. On the fraction of a convex and closed plane area lying outside a circle with which it shares a diameter
spellingShingle A forgotten little chapter on isoperimetric inequalities. On the fraction of a convex and closed plane area lying outside a circle with which it shares a diameter
Pacheco Castelao, José Miguel
12 Matemáticas
Convex plane area
Isoperimetric inequality
title_short A forgotten little chapter on isoperimetric inequalities. On the fraction of a convex and closed plane area lying outside a circle with which it shares a diameter
title_full A forgotten little chapter on isoperimetric inequalities. On the fraction of a convex and closed plane area lying outside a circle with which it shares a diameter
title_fullStr A forgotten little chapter on isoperimetric inequalities. On the fraction of a convex and closed plane area lying outside a circle with which it shares a diameter
title_full_unstemmed A forgotten little chapter on isoperimetric inequalities. On the fraction of a convex and closed plane area lying outside a circle with which it shares a diameter
title_sort A forgotten little chapter on isoperimetric inequalities. On the fraction of a convex and closed plane area lying outside a circle with which it shares a diameter
dc.creator.none.fl_str_mv Pacheco Castelao, José Miguel
author Pacheco Castelao, José Miguel
author_facet Pacheco Castelao, José Miguel
author_role author
dc.subject.none.fl_str_mv 12 Matemáticas
Convex plane area
Isoperimetric inequality
topic 12 Matemáticas
Convex plane area
Isoperimetric inequality
description Often some interesting or simply curious points are left out when developing a theory. It seems that one of them is the existence of an upper bound for the fraction of area of a convex and closed plane area lying outside a circle with which it shares a diameter, a problem stemming from the theory of isoperimetric inequalities. In this paper such a bound is constructed and shown to be attained for a particular area. It is also shown that convexity is a necessary condition in order to avoid the whole area lying outside the circle
publishDate 2008
dc.date.none.fl_str_mv 2008
2011
2011
2018
2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
Article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10553/5235
url http://hdl.handle.net/10553/5235
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Revista de la Academia Canaria de Ciencias
dc.rights.none.fl_str_mv by-nc-nd
info:eu-repo/semantics/openAccess
rights_invalid_str_mv by-nc-nd
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Revista de la Academia Canaria de Ciencias=Folia Canariensis Academiae Scientiarum, Academia Canaria de Ciencias, ISSN 1130-4723, Vol. XX, nº 1-2, p. 113-118
reponame:accedaCRIS portal de investigación de la Universidad de las Palmas de Gran Canaria
instname:
instname_str
reponame_str accedaCRIS portal de investigación de la Universidad de las Palmas de Gran Canaria
collection accedaCRIS portal de investigación de la Universidad de las Palmas de Gran Canaria
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869410359385784320
score 15,301629

Similares en LA Referencia