Some inequalities involving operator monotone functions and operator means

DOI10.7153/MIA-19-55zbMath1372.47026OpenAlexW2509687719MaRDI QIDQ2805357

Venus Kaleibary, Mohammad Bagher Ghaemi

Publication date: 11 May 2016

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/abstracts/mia-19-55-abs.pdf

zbMATH Keywords

operator monotone functionnorm inequalitymajorizationoperator convex functionSpecht's ratio\(\alpha\)-arithmetic (\(\alpha\)-geometric\(\alpha\)-harmonic) operator meanoperator monotone decreasing function

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities involving eigenvalues and eigenvectors (15A42) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (10)

More accurate operator means inequalities ⋮ On reverses of the Golden-Thompson type inequalities ⋮ Some inequalities for operator monotone functions ⋮ Operator geodesically convex functions and their applications ⋮ Eigenvalue inequalities related to the Ando-Hiai inequality ⋮ Reverses of operator Aczél inequality ⋮ On the Pólya-Szegö operator inequality ⋮ New sharp inequalities for operator means ⋮ On the operator Aczél inequality and its reverse ⋮ Norm inequalities involving operator monotone functions

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