Refinements of the Heinz operator inequalities

DOI10.1080/03081087.2014.936434zbMath1321.47039OpenAlexW2082595421MaRDI QIDQ4981963

Guanghua Shi, Jin Liang

Publication date: 23 March 2015

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2014.936434

zbMATH Keywords

positive operatorHeinz inequalityHeinz means

Mathematics Subject Classification ID

Linear operator inequalities (47A63)

Related Items (6)

New ordering relations for the Heinz means via hyperbolic functions ⋮ Some means inequalities for positive operators in Hilbert spaces ⋮ Some inequalities involving Heron and Heinz means of two convex functionals ⋮ Estimations of the Lehmer mean by the Heron mean and their generalizations involving refined Heinz operator inequalities ⋮ Refining and reversing the weighted arithmetic-geometric mean inequality involving convex functionals and application for the functional entropy ⋮ Generalization of Heinz operator inequalities via hyperbolic functions

Cites Work

• On the convexity of the Heinz means
• Interpolating the arithmetic--geometric mean inequality and its operator version
• Means of positive linear operators
• Refined Heinz operator inequalities
• Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators
• Reverse Young and Heinz inequalities for matrices
• Sharp Inequalities for Some Operator Means

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