Norm Inequalities Related to the Heron and Heinz Means

Kapil, Yogesh; Conde, Cristian Marcelo; Moslehian, Mohammad Sal; Singh, Mandeep; Sababheh, Mohammad

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dc.creator	Kapil, Yogesh
dc.creator	Conde, Cristian Marcelo
dc.creator	Moslehian, Mohammad Sal
dc.creator	Singh, Mandeep
dc.creator	Sababheh, Mohammad
dc.date.accessioned	2025-07-24T18:00:33Z
dc.date.available	2025-07-24T18:00:33Z
dc.date.issued	2017
dc.identifier.citation	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.
dc.identifier.issn	1660-5446
dc.identifier.uri	http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2334
dc.description	Revista con referato
dc.description	Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
dc.description	Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto Argentino de Matemática Alberto Calderón; Argentina.
dc.description	Fil: Kapil, Yogesh. Sant Longowal Institute of Engineering and Technology; India.
dc.description	Fil: Moslehian, Mohammad Sal. Ferdowsi University of Mashhad. Center of Excellence in Analysis on Algebraic Structures. Department of Pure Mathematics; Irán.
dc.description	Fil: Singh, Mandeep. Sant Longowal Institute of Engineering and Technology; India,
dc.description	Fil: Sababheh, Mohammad. Princess Sumaya University for Technology; Emiratos Arabes Unidos.
dc.description.abstract	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.
dc.description.abstract	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.
dc.format	application/pdf
dc.language	eng
dc.publisher	Birkhauser Verlag Ag
dc.relation	https://doi.org/10.1007/s00009-017-1015-6
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.source	Mediterranean Journal of Mathematics. Oct. 2017; 14(5): 1-15
dc.subject	Heinz Inequality
dc.subject	Norm Inequality
dc.subject	Normalized Jensen Functional
dc.subject	Operator Mean
dc.subject	Unitarily Invariant Norm
dc.subject.classification	Matemáticas
dc.subject.classification	Matemática Pura
dc.title	Norm Inequalities Related to the Heron and Heinz Means
dc.type	info:eu-repo/semantics/article
dc.type	info:ar-repo/semantics/artículo
dc.type	info:eu-repo/semantics/publishedVersion