Operator inequalities involving the arithmetic, geometric, Heinz and Heron means

DOI10.7153/jmi-08-56zbMath1321.47041OpenAlexW2331243622MaRDI QIDQ2940841

Jianguo Zhao, Wenshi Liao, Haisong Cao, Junliang Wu

Publication date: 21 January 2015

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/articles/jmi-08-56.pdf

zbMATH Keywords

operator inequalitypositive operatorKantorovich constantHeron meanHeinz means

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (8)

Mean inequalities for sector matrices involving positive linear maps ⋮ Sharp bounds for Heinz mean by Heron mean and other means ⋮ New ordering relations for the Heinz means via hyperbolic functions ⋮ Some results of Young-type inequalities ⋮ Numerous refinements of Pólya and Heinz operator inequalities ⋮ Some refinements of the improved Young and its reverse inequalities ⋮ New refinements of some inequalities involving relative operator entropy ⋮ Reverses of Young and Heinz inequalities for positive linear operators

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