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dc.contributor.author
Kaur, Rupinderjit  
dc.contributor.author
Moslehian, Mohammad Sal  
dc.contributor.author
Singh, Mandeep  
dc.contributor.author
Conde, Cristian Marcelo  
dc.date.available
2017-01-30T19:38:43Z  
dc.date.issued
2014-04  
dc.identifier.citation
Kaur, Rupinderjit; Moslehian, Mohammad Sal; Singh, Mandeep; Conde, Cristian Marcelo; Further refinements of the Heinz inequality; Elsevier; Linear Algebra And Its Applications; 447; 4-2014; 26-37  
dc.identifier.issn
0024-3795  
dc.identifier.uri
http://hdl.handle.net/11336/12175  
dc.description.abstract
The celebrated Heinz inequality asserts that 2|||A^1/2XB^1/2||| leq|||A^νXB^(1−ν)+ A^(1−ν)XB^ν||| leq |||AX + XB||| for X ∈ B(H ), A,B ∈B(H )_+, every unitarily invariant norm ||| · ||| and ν ∈ [0,1]. In this paper, we present several improvement of the Heinz inequality by using the convexity of the function F(ν) = ||||A^νXB^(1−ν)+ A^(1−ν)XB^ν|||, some integration techniques and various refinements of the Hermite?Hadamard inequality.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Heinz Inequality  
dc.subject
Convex Function  
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Hermite-Hadamard Inequality  
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Positive Definite Matrix  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Further refinements of the Heinz inequality  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2016-03-21T18:28:59Z  
dc.journal.volume
447  
dc.journal.pagination
26-37  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Kaur, Rupinderjit. Sant Longowal Institute of Engineering and Technology; India  
dc.description.fil
Fil: Moslehian, Mohammad Sal. Ferdowsi University of Mashhad; Irán  
dc.description.fil
Fil: Singh, Mandeep. Sant Longowal Institute of Engineering and Technology; India  
dc.description.fil
Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina. Universidad Nacional de General Sarmiento; Argentina  
dc.journal.title
Linear Algebra And Its Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0024379513000748  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1301.7346  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.laa.2013.01.012