A Refinement and a divided difference reverse of Jensen's inequality with applications

A renement and a new sharp reverse of Jensen's inequality for convex functions in terms of divided diferences is obtained. Applications for means, the Hölder inequality and for f-divergence measures in information theory are also provided.

Autores:
Dragomir, S. Sever
Tipo de recurso:
Article of journal
Fecha de publicación:
2016
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66452
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66452
http://bdigital.unal.edu.co/67480/
Palabra clave:
51 Matemáticas / Mathematics
Jensen's inequality
Measurable functions
Lebesque integral
Divergence measures
f-Divergence
Hölder inequality
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/66452
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network_name_str Universidad Nacional de Colombia
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Dragomir, S. Sever7ec17123-a720-4351-9a83-7bdd2b42c8f43002019-07-03T02:09:18Z2019-07-03T02:09:18Z2016-01-01ISSN: 2357-4100https://repositorio.unal.edu.co/handle/unal/66452http://bdigital.unal.edu.co/67480/A renement and a new sharp reverse of Jensen's inequality for convex functions in terms of divided diferences is obtained. Applications for means, the Hölder inequality and for f-divergence measures in information theory are also provided.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticashttps://revistas.unal.edu.co/index.php/recolma/article/view/62178Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasDragomir, S. Sever (2016) A Refinement and a divided difference reverse of Jensen's inequality with applications. Revista Colombiana de Matemáticas, 50 (1). pp. 17-39. ISSN 2357-410051 Matemáticas / MathematicsJensen's inequalityMeasurable functionsLebesque integralDivergence measuresf-DivergenceHölder inequalityA Refinement and a divided difference reverse of Jensen's inequality with applicationsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL62178-316150-1-SM.pdfapplication/pdf443855https://repositorio.unal.edu.co/bitstream/unal/66452/1/62178-316150-1-SM.pdf1fe6ba652037c3ce75684373a8b8efbfMD51THUMBNAIL62178-316150-1-SM.pdf.jpg62178-316150-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5089https://repositorio.unal.edu.co/bitstream/unal/66452/2/62178-316150-1-SM.pdf.jpgc46bba86ca189cd9a7a0d1695edef7a7MD52unal/66452oai:repositorio.unal.edu.co:unal/664522024-05-16 23:09:27.525Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv A Refinement and a divided difference reverse of Jensen's inequality with applications
title A Refinement and a divided difference reverse of Jensen's inequality with applications
spellingShingle A Refinement and a divided difference reverse of Jensen's inequality with applications
51 Matemáticas / Mathematics
Jensen's inequality
Measurable functions
Lebesque integral
Divergence measures
f-Divergence
Hölder inequality
title_short A Refinement and a divided difference reverse of Jensen's inequality with applications
title_full A Refinement and a divided difference reverse of Jensen's inequality with applications
title_fullStr A Refinement and a divided difference reverse of Jensen's inequality with applications
title_full_unstemmed A Refinement and a divided difference reverse of Jensen's inequality with applications
title_sort A Refinement and a divided difference reverse of Jensen's inequality with applications
dc.creator.fl_str_mv Dragomir, S. Sever
dc.contributor.author.spa.fl_str_mv Dragomir, S. Sever
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
Jensen's inequality
Measurable functions
Lebesque integral
Divergence measures
f-Divergence
Hölder inequality
dc.subject.proposal.spa.fl_str_mv Jensen's inequality
Measurable functions
Lebesque integral
Divergence measures
f-Divergence
Hölder inequality
description A renement and a new sharp reverse of Jensen's inequality for convex functions in terms of divided diferences is obtained. Applications for means, the Hölder inequality and for f-divergence measures in information theory are also provided.
publishDate 2016
dc.date.issued.spa.fl_str_mv 2016-01-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:09:18Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:09:18Z
dc.type.spa.fl_str_mv Artículo de revista
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv ISSN: 2357-4100
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/66452
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/67480/
identifier_str_mv ISSN: 2357-4100
url https://repositorio.unal.edu.co/handle/unal/66452
http://bdigital.unal.edu.co/67480/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/recolma/article/view/62178
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.references.spa.fl_str_mv Dragomir, S. Sever (2016) A Refinement and a divided difference reverse of Jensen's inequality with applications. Revista Colombiana de Matemáticas, 50 (1). pp. 17-39. ISSN 2357-4100
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/66452/1/62178-316150-1-SM.pdf
https://repositorio.unal.edu.co/bitstream/unal/66452/2/62178-316150-1-SM.pdf.jpg
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
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