Norm Inequalities Related to the Heron and Heinz Means

Revista con referato

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Autores principales: Kapil, Yogesh, Conde, Cristian Marcelo, Moslehian, Mohammad Sal, Singh, Mandeep, Sababheh, Mohammad
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: Birkhauser Verlag Ag 2025
Materias:
Heinz Inequality
Norm Inequality
Normalized Jensen Functional
Operator Mean
Unitarily Invariant Norm
Matemáticas
Matemática Pura
Acceso en línea:http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2334
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Repositorio Institucional Digital de Acceso Abierto (UNGS) de Universidad Nacional de General Sarmiento
id I71-R177-UNGS-2334
record_format dspace
spelling I71-R177-UNGS-23342025-07-24T18:00:33Z Norm Inequalities Related to the Heron and Heinz Means Kapil, Yogesh Conde, Cristian Marcelo Moslehian, Mohammad Sal Singh, Mandeep Sababheh, Mohammad Heinz Inequality Norm Inequality Normalized Jensen Functional Operator Mean Unitarily Invariant Norm Matemáticas Matemática Pura 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. 2025-07-24T18:00:33Z 2025-07-24T18:00:33Z 2017 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion 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 eng https://doi.org/10.1007/s00009-017-1015-6 info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf application/pdf Birkhauser Verlag Ag Mediterranean Journal of Mathematics. Oct. 2017; 14(5): 1-15
institution Universidad Nacional de General Sarmiento
institution_str I-71
repository_str R-177
collection Repositorio Institucional Digital de Acceso Abierto (UNGS)
language Inglés
orig_language_str_mv eng
topic Heinz Inequality
Norm Inequality
Normalized Jensen Functional
Operator Mean
Unitarily Invariant Norm
Matemáticas
Matemática Pura
spellingShingle Heinz Inequality
Norm Inequality
Normalized Jensen Functional
Operator Mean
Unitarily Invariant Norm
Matemáticas
Matemática Pura
Kapil, Yogesh
Conde, Cristian Marcelo
Moslehian, Mohammad Sal
Singh, Mandeep
Sababheh, Mohammad
Norm Inequalities Related to the Heron and Heinz Means
topic_facet Heinz Inequality
Norm Inequality
Normalized Jensen Functional
Operator Mean
Unitarily Invariant Norm
Matemáticas
Matemática Pura
description Revista con referato
format Artículo
Artículo
publishedVersion
author Kapil, Yogesh
Conde, Cristian Marcelo
Moslehian, Mohammad Sal
Singh, Mandeep
Sababheh, Mohammad
author_facet Kapil, Yogesh
Conde, Cristian Marcelo
Moslehian, Mohammad Sal
Singh, Mandeep
Sababheh, Mohammad
author_sort Kapil, Yogesh
title Norm Inequalities Related to the Heron and Heinz Means
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
publisher Birkhauser Verlag Ag
publishDate 2025
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2334
work_keys_str_mv AT kapilyogesh norminequalitiesrelatedtotheheronandheinzmeans
AT condecristianmarcelo norminequalitiesrelatedtotheheronandheinzmeans
AT moslehianmohammadsal norminequalitiesrelatedtotheheronandheinzmeans
AT singhmandeep norminequalitiesrelatedtotheheronandheinzmeans
AT sababhehmohammad norminequalitiesrelatedtotheheronandheinzmeans
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