Primal and dual proofs of the arithmetic–geometric mean inequality by dynamic programming

Descripción del Articulo

I wish to thank Professor A. Shenitzer (York University, Canada) and Professor R. Jean (Universite du Quebec a Rimouski, Canada) for kindly reading this paper and making many valuable suggestions. This work has been supported by the Peruvian Council of Science and Technology (CONCYTEC).
Detalles Bibliográficos
Autor: Dubeau F.
Formato: artículo
Fecha de Publicación:1990
Institución:Consejo Nacional de Ciencia Tecnología e Innovación
Repositorio:CONCYTEC-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.concytec.gob.pe:20.500.12390/913
Enlace del recurso:https://hdl.handle.net/20.500.12390/913
Nivel de acceso:acceso abierto
Materia:Matemáticas
Investigación
https://purl.org/pe-repo/ocde/ford#1.01.00
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spelling Publicationrp02407600Dubeau F.2024-05-30T23:13:38Z2024-05-30T23:13:38Z1990https://hdl.handle.net/20.500.12390/9132-s2.0-84946304294I wish to thank Professor A. Shenitzer (York University, Canada) and Professor R. Jean (Universite du Quebec a Rimouski, Canada) for kindly reading this paper and making many valuable suggestions. This work has been supported by the Peruvian Council of Science and Technology (CONCYTEC).In a proof of the arithmetic-geometric mean (AGM) inequality is presented using the functional-equation approach of dynamic programming. The object of this note is to review this proof and to present a second proof using the same technique. On the way, we can appreciate the usefulness of the dynamic programming method and see two elementary proofs of a simple, but very important, inequality.Consejo Nacional de Ciencia, Tecnología e Innovación Tecnológica - ConcytecengTaylor & Francis OnlineInternational Journal of Mathematical Education in Science and Technologyinfo:eu-repo/semantics/openAccessMatemáticasInvestigación-1https://purl.org/pe-repo/ocde/ford#1.01.00-1Primal and dual proofs of the arithmetic–geometric mean inequality by dynamic programminginfo:eu-repo/semantics/articlereponame:CONCYTEC-Institucionalinstname:Consejo Nacional de Ciencia Tecnología e Innovacióninstacron:CONCYTEC20.500.12390/913oai:repositorio.concytec.gob.pe:20.500.12390/9132024-05-30 15:59:45.361http://purl.org/coar/access_right/c_14cbinfo:eu-repo/semantics/closedAccessmetadata only accesshttps://repositorio.concytec.gob.peRepositorio Institucional CONCYTECrepositorio@concytec.gob.pe#PLACEHOLDER_PARENT_METADATA_VALUE#<Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="4484f08f-6dc0-4afa-8aa7-80c0cf2e18ea"> <Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type> <Language>eng</Language> <Title>Primal and dual proofs of the arithmetic–geometric mean inequality by dynamic programming</Title> <PublishedIn> <Publication> <Title>International Journal of Mathematical Education in Science and Technology</Title> </Publication> </PublishedIn> <PublicationDate>1990</PublicationDate> <SCP-Number>2-s2.0-84946304294</SCP-Number> <Authors> <Author> <DisplayName>Dubeau F.</DisplayName> <Person id="rp02407" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> </Authors> <Editors> </Editors> <Publishers> <Publisher> <DisplayName>Taylor &amp; Francis Online</DisplayName> <OrgUnit /> </Publisher> </Publishers> <Keyword>Matemáticas</Keyword> <Keyword>Investigación</Keyword> <Abstract>In a proof of the arithmetic-geometric mean (AGM) inequality is presented using the functional-equation approach of dynamic programming. The object of this note is to review this proof and to present a second proof using the same technique. On the way, we can appreciate the usefulness of the dynamic programming method and see two elementary proofs of a simple, but very important, inequality.</Abstract> <Access xmlns="http://purl.org/coar/access_right" > </Access> </Publication> -1
dc.title.none.fl_str_mv Primal and dual proofs of the arithmetic–geometric mean inequality by dynamic programming
title Primal and dual proofs of the arithmetic–geometric mean inequality by dynamic programming
spellingShingle Primal and dual proofs of the arithmetic–geometric mean inequality by dynamic programming
Dubeau F.
Matemáticas
Investigación
https://purl.org/pe-repo/ocde/ford#1.01.00
title_short Primal and dual proofs of the arithmetic–geometric mean inequality by dynamic programming
title_full Primal and dual proofs of the arithmetic–geometric mean inequality by dynamic programming
title_fullStr Primal and dual proofs of the arithmetic–geometric mean inequality by dynamic programming
title_full_unstemmed Primal and dual proofs of the arithmetic–geometric mean inequality by dynamic programming
title_sort Primal and dual proofs of the arithmetic–geometric mean inequality by dynamic programming
author Dubeau F.
author_facet Dubeau F.
author_role author
dc.contributor.author.fl_str_mv Dubeau F.
dc.subject.none.fl_str_mv Matemáticas
topic Matemáticas
Investigación
https://purl.org/pe-repo/ocde/ford#1.01.00
dc.subject.es_PE.fl_str_mv Investigación
dc.subject.ocde.none.fl_str_mv https://purl.org/pe-repo/ocde/ford#1.01.00
description I wish to thank Professor A. Shenitzer (York University, Canada) and Professor R. Jean (Universite du Quebec a Rimouski, Canada) for kindly reading this paper and making many valuable suggestions. This work has been supported by the Peruvian Council of Science and Technology (CONCYTEC).
publishDate 1990
dc.date.accessioned.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.available.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.issued.fl_str_mv 1990
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12390/913
dc.identifier.scopus.none.fl_str_mv 2-s2.0-84946304294
url https://hdl.handle.net/20.500.12390/913
identifier_str_mv 2-s2.0-84946304294
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv International Journal of Mathematical Education in Science and Technology
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Taylor & Francis Online
publisher.none.fl_str_mv Taylor & Francis Online
dc.source.none.fl_str_mv reponame:CONCYTEC-Institucional
instname:Consejo Nacional de Ciencia Tecnología e Innovación
instacron:CONCYTEC
instname_str Consejo Nacional de Ciencia Tecnología e Innovación
instacron_str CONCYTEC
institution CONCYTEC
reponame_str CONCYTEC-Institucional
collection CONCYTEC-Institucional
repository.name.fl_str_mv Repositorio Institucional CONCYTEC
repository.mail.fl_str_mv repositorio@concytec.gob.pe
_version_ 1844883085037928448
score 13.058567
Primal and dual proofs of the arithmetic–geometric mean inequality by dynamic programming
Nota importante:
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).

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