Reducible means

Autores
Berrone, Lucio Renato
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A n variables mean M is said to be reducible in a certain class of means N when M can be represented as a composition of a Önite number M0; : : : ; Mr of means belonging to N , being less than n the number of variables of every Mi. In this paper, a basic classiÖcation of reducible means is developed and the notions of S-reducibility, a type of analytically decidible reducibility, and of complete reducibility of a mean are isolated. Several applications of these notions are presented. In particular, a continuous and scale invariant weighting procedure deÖned on a class M2 of two variables means is extended without losing its properties to the class of reducible means in M2.
Fil: Berrone, Lucio Renato. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Materia
MEANS
CLONES
REPRESENTATION
REDUCIBILITY
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/90855
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Reducible meansBerrone, Lucio RenatoMEANSCLONESREPRESENTATIONREDUCIBILITYhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A n variables mean M is said to be reducible in a certain class of means N when M can be represented as a composition of a Önite number M0; : : : ; Mr of means belonging to N , being less than n the number of variables of every Mi. In this paper, a basic classiÖcation of reducible means is developed and the notions of S-reducibility, a type of analytically decidible reducibility, and of complete reducibility of a mean are isolated. Several applications of these notions are presented. In particular, a continuous and scale invariant weighting procedure deÖned on a class M2 of two variables means is extended without losing its properties to the class of reducible means in M2.Fil: Berrone, Lucio Renato. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; ArgentinaSpringer2018-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/90855Berrone, Lucio Renato; Reducible means; Springer; The Journal of Analysis; 27; 4; 12-2018; 943-9840971-36112367-2501CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s41478-018-0156-8info:eu-repo/semantics/altIdentifier/doi/10.1007/s41478-018-0156-8info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:22:41Zoai:ri.conicet.gov.ar:11336/90855instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-10 13:22:41.887CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Reducible means
title Reducible means
spellingShingle Reducible means
Berrone, Lucio Renato
MEANS
CLONES
REPRESENTATION
REDUCIBILITY
title_short Reducible means
title_full Reducible means
title_fullStr Reducible means
title_full_unstemmed Reducible means
title_sort Reducible means
dc.creator.none.fl_str_mv Berrone, Lucio Renato
author Berrone, Lucio Renato
author_facet Berrone, Lucio Renato
author_role author
dc.subject.none.fl_str_mv MEANS
CLONES
REPRESENTATION
REDUCIBILITY
topic MEANS
CLONES
REPRESENTATION
REDUCIBILITY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A n variables mean M is said to be reducible in a certain class of means N when M can be represented as a composition of a Önite number M0; : : : ; Mr of means belonging to N , being less than n the number of variables of every Mi. In this paper, a basic classiÖcation of reducible means is developed and the notions of S-reducibility, a type of analytically decidible reducibility, and of complete reducibility of a mean are isolated. Several applications of these notions are presented. In particular, a continuous and scale invariant weighting procedure deÖned on a class M2 of two variables means is extended without losing its properties to the class of reducible means in M2.
Fil: Berrone, Lucio Renato. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
description A n variables mean M is said to be reducible in a certain class of means N when M can be represented as a composition of a Önite number M0; : : : ; Mr of means belonging to N , being less than n the number of variables of every Mi. In this paper, a basic classiÖcation of reducible means is developed and the notions of S-reducibility, a type of analytically decidible reducibility, and of complete reducibility of a mean are isolated. Several applications of these notions are presented. In particular, a continuous and scale invariant weighting procedure deÖned on a class M2 of two variables means is extended without losing its properties to the class of reducible means in M2.
publishDate 2018
dc.date.none.fl_str_mv 2018-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/90855
Berrone, Lucio Renato; Reducible means; Springer; The Journal of Analysis; 27; 4; 12-2018; 943-984
0971-3611
2367-2501
CONICET Digital
CONICET
url http://hdl.handle.net/11336/90855
identifier_str_mv Berrone, Lucio Renato; Reducible means; Springer; The Journal of Analysis; 27; 4; 12-2018; 943-984
0971-3611
2367-2501
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s41478-018-0156-8
info:eu-repo/semantics/altIdentifier/doi/10.1007/s41478-018-0156-8
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.48226

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