f-Divergence functional of operator log-convex functions

DOI10.1080/03081087.2015.1025686zbMath1336.47018OpenAlexW2028471043MaRDI QIDQ2789407

Mohsen Kian, Sever Silvestru Dragomir

Publication date: 29 February 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1025686

zbMATH Keywords

positive operatoroperator meanperspective functionnon-commutative \(f\)-divergence functionaloperator \(\varphi\)-convex functionoperator log-convex function

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (7)

Some inequalities for operator \((\varphi, h)\)-convex functions ⋮ Jointly convex mappings related to Lieb's theorem and Minkowski type operator inequalities ⋮ On a Hardy operator inequality ⋮ Subadditive inequalities for operators ⋮ Strengthened convexity of positive operator monotone decreasing functions ⋮ Complementary to Jensen's operator inequalities in external formulas ⋮ Epigraph of operator functions

Cites Work

• Operator log-convex functions and operator means
• Double piling structure of matrix monotone functions and of matrix convex functions
• A variant of Jensen's inequality of Mercer's type for operators with applications
• Means of positive linear operators
• In-betweenness, a geometrical monotonicity property for operator means
• A matrix convexity approach to some celebrated quantum inequalities
• Jensen's operator inequality and its converses
• Perspectives of matrix convex functions

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