Norm Inequalities Related to the Heron and Heinz Means

Autores
Kapil, Yogesh; Conde, Cristian Marcelo; Moslehian, Mohammad Sal; Singh, Mandeep; Sababheh, Mohammad
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Revista con referato
Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto Argentino de Matemática Alberto Calderón; Argentina.
Fil: Kapil, Yogesh. Sant Longowal Institute of Engineering and Technology; India.
Fil: Moslehian, Mohammad Sal. Ferdowsi University of Mashhad. Center of Excellence in Analysis on Algebraic Structures. Department of Pure Mathematics; Irán.
Fil: Singh, Mandeep. Sant Longowal Institute of Engineering and Technology; India,
Fil: Sababheh, Mohammad. Princess Sumaya University for Technology; Emiratos Arabes Unidos.
En este artículo, presentamos varias desigualdades que tratan las medias de los operadores y la desigualdad de Cauchy-Schwarz. En particular, presentamos nuevas comparaciones entre las medias de Heron y Heinz, varias generalizaciones de la versión diferencial de las medias de Heinz y mejoras adicionales en la desigualdad de Cauchy-Schwarz. Las técnicas empleadas para obtener estos resultados incluyen la convexidad y las matrices de Löwner.
In this article, we present several inequalities treating operator means and the Cauchy–Schwarz inequality. In particular, we present some new comparisons between operator Heron and Heinz means, several generalizations of the difference version of the Heinz means and further refinements of the Cauchy–Schwarz inequality. The techniques used to accomplish these results include convexity and Löwner matrices.
Fuente
Mediterranean Journal of Mathematics. Oct. 2017; 14(5): 1-15
Materia
Heinz Inequality
Norm Inequality
Normalized Jensen Functional
Operator Mean
Unitarily Invariant Norm
Matemáticas
Matemática Pura
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/4.0/
Repositorio
Repositorio Institucional UNGS
Institución
Universidad Nacional de General Sarmiento
OAI Identificador
oai:repositorio.ungs.edu.ar:UNGS/2334
Acceder
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oai_identifier_str oai:repositorio.ungs.edu.ar:UNGS/2334
network_acronym_str RIUNGS
repository_id_str
network_name_str Repositorio Institucional UNGS
spelling Norm Inequalities Related to the Heron and Heinz MeansKapil, YogeshConde, Cristian MarceloMoslehian, Mohammad SalSingh, MandeepSababheh, MohammadHeinz InequalityNorm InequalityNormalized Jensen FunctionalOperator MeanUnitarily Invariant NormMatemáticasMatemática PuraRevista con referatoFil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto Argentino de Matemática Alberto Calderón; Argentina.Fil: Kapil, Yogesh. Sant Longowal Institute of Engineering and Technology; India.Fil: Moslehian, Mohammad Sal. Ferdowsi University of Mashhad. Center of Excellence in Analysis on Algebraic Structures. Department of Pure Mathematics; Irán.Fil: Singh, Mandeep. Sant Longowal Institute of Engineering and Technology; India,Fil: Sababheh, Mohammad. Princess Sumaya University for Technology; Emiratos Arabes Unidos.En este artículo, presentamos varias desigualdades que tratan las medias de los operadores y la desigualdad de Cauchy-Schwarz. En particular, presentamos nuevas comparaciones entre las medias de Heron y Heinz, varias generalizaciones de la versión diferencial de las medias de Heinz y mejoras adicionales en la desigualdad de Cauchy-Schwarz. Las técnicas empleadas para obtener estos resultados incluyen la convexidad y las matrices de Löwner.In this article, we present several inequalities treating operator means and the Cauchy–Schwarz inequality. In particular, we present some new comparisons between operator Heron and Heinz means, several generalizations of the difference version of the Heinz means and further refinements of the Cauchy–Schwarz inequality. The techniques used to accomplish these results include convexity and Löwner matrices.Birkhauser Verlag Ag2025-07-24T18:00:33Z2025-07-24T18:00:33Z2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfKapil, Y., Conde, C. M., Moslehian, M. S., Singh, M. y Sababheh, M. (2017). Norm Inequalities Related to the Heron and Heinz Means. Mediterranean Journal of Mathematics, 14(5), 1-15.1660-5446http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2334Mediterranean Journal of Mathematics. Oct. 2017; 14(5): 1-15reponame:Repositorio Institucional UNGSinstname:Universidad Nacional de General Sarmientoenghttps://doi.org/10.1007/s00009-017-1015-6info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/4.0/2025-09-29T15:01:49Zoai:repositorio.ungs.edu.ar:UNGS/2334instacron:UNGSInstitucionalhttp://repositorio.ungs.edu.ar:8080/Universidad públicahttps://www.ungs.edu.ar/http://repositorio.ungs.edu.ar:8080/oaiubyd@campus.ungs.edu.arArgentinaopendoar:2025-09-29 15:01:49.455Repositorio Institucional UNGS - Universidad Nacional de General Sarmientofalse
dc.title.none.fl_str_mv Norm Inequalities Related to the Heron and Heinz Means
title Norm Inequalities Related to the Heron and Heinz Means
spellingShingle Norm Inequalities Related to the Heron and Heinz Means
Kapil, Yogesh
Heinz Inequality
Norm Inequality
Normalized Jensen Functional
Operator Mean
Unitarily Invariant Norm
Matemáticas
Matemática Pura
title_short Norm Inequalities Related to the Heron and Heinz Means
title_full Norm Inequalities Related to the Heron and Heinz Means
title_fullStr Norm Inequalities Related to the Heron and Heinz Means
title_full_unstemmed Norm Inequalities Related to the Heron and Heinz Means
title_sort Norm Inequalities Related to the Heron and Heinz Means
dc.creator.none.fl_str_mv Kapil, Yogesh
Conde, Cristian Marcelo
Moslehian, Mohammad Sal
Singh, Mandeep
Sababheh, Mohammad
author Kapil, Yogesh
author_facet Kapil, Yogesh
Conde, Cristian Marcelo
Moslehian, Mohammad Sal
Singh, Mandeep
Sababheh, Mohammad
author_role author
author2 Conde, Cristian Marcelo
Moslehian, Mohammad Sal
Singh, Mandeep
Sababheh, Mohammad
author2_role author
author
author
author
dc.subject.none.fl_str_mv Heinz Inequality
Norm Inequality
Normalized Jensen Functional
Operator Mean
Unitarily Invariant Norm
Matemáticas
Matemática Pura
topic Heinz Inequality
Norm Inequality
Normalized Jensen Functional
Operator Mean
Unitarily Invariant Norm
Matemáticas
Matemática Pura
dc.description.none.fl_txt_mv Revista con referato
Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto Argentino de Matemática Alberto Calderón; Argentina.
Fil: Kapil, Yogesh. Sant Longowal Institute of Engineering and Technology; India.
Fil: Moslehian, Mohammad Sal. Ferdowsi University of Mashhad. Center of Excellence in Analysis on Algebraic Structures. Department of Pure Mathematics; Irán.
Fil: Singh, Mandeep. Sant Longowal Institute of Engineering and Technology; India,
Fil: Sababheh, Mohammad. Princess Sumaya University for Technology; Emiratos Arabes Unidos.
En este artículo, presentamos varias desigualdades que tratan las medias de los operadores y la desigualdad de Cauchy-Schwarz. En particular, presentamos nuevas comparaciones entre las medias de Heron y Heinz, varias generalizaciones de la versión diferencial de las medias de Heinz y mejoras adicionales en la desigualdad de Cauchy-Schwarz. Las técnicas empleadas para obtener estos resultados incluyen la convexidad y las matrices de Löwner.
In this article, we present several inequalities treating operator means and the Cauchy–Schwarz inequality. In particular, we present some new comparisons between operator Heron and Heinz means, several generalizations of the difference version of the Heinz means and further refinements of the Cauchy–Schwarz inequality. The techniques used to accomplish these results include convexity and Löwner matrices.
description Revista con referato
publishDate 2017
dc.date.none.fl_str_mv 2017
2025-07-24T18:00:33Z
2025-07-24T18:00:33Z
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 Kapil, Y., Conde, C. M., Moslehian, M. S., Singh, M. y Sababheh, M. (2017). Norm Inequalities Related to the Heron and Heinz Means. Mediterranean Journal of Mathematics, 14(5), 1-15.
1660-5446
http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2334
identifier_str_mv Kapil, Y., Conde, C. M., Moslehian, M. S., Singh, M. y Sababheh, M. (2017). Norm Inequalities Related to the Heron and Heinz Means. Mediterranean Journal of Mathematics, 14(5), 1-15.
1660-5446
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2334
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://doi.org/10.1007/s00009-017-1015-6
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Birkhauser Verlag Ag
publisher.none.fl_str_mv Birkhauser Verlag Ag
dc.source.none.fl_str_mv Mediterranean Journal of Mathematics. Oct. 2017; 14(5): 1-15
reponame:Repositorio Institucional UNGS
instname:Universidad Nacional de General Sarmiento
reponame_str Repositorio Institucional UNGS
collection Repositorio Institucional UNGS
instname_str Universidad Nacional de General Sarmiento
repository.name.fl_str_mv Repositorio Institucional UNGS - Universidad Nacional de General Sarmiento
repository.mail.fl_str_mv ubyd@campus.ungs.edu.ar
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score 12.559606

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