Complementary inequalities to inequalities of Jensen and Ando based on the Mond-Pečarić method

DOI10.1016/S0024-3795(00)00160-9zbMath0971.47014MaRDI QIDQ1590648

Yuki Seo, Jadranka Mićić, Josip E. Pečarić

Publication date: 8 February 2001

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

zbMATH Keywords

Hadamard productoperator meansJensen's inequalities

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Linear operator inequalities (47A63) Miscellaneous inequalities involving matrices (15A45) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (20)

On the Lawson-Lim means and Karcher mean for positive invertible operators ⋮ Exponential inequalities for positive linear mappings ⋮ Asymmetric Choi–Davis inequalities ⋮ A complementary result to the superadditivity of operator means ⋮ New Kantorovich type inequalities for negative parameters ⋮ Some bounds for the generalized Tsallis relative operator entropy ⋮ Operator monotone functions on accretive matrices ⋮ Some inequalities involving operator means and monotone convex functions ⋮ Operator inequalities associated with \(A\log A\) via Specht ratio. ⋮ Developed matrix inequalities via positive multilinear mappings ⋮ A key inequality for functions of matrices ⋮ Reverse inequalities involving two relative operator entropies and two relative entropies ⋮ New refinements of some inequalities involving relative operator entropy ⋮ Complementary to Jensen's operator inequalities in external formulas ⋮ Squaring operator Pólya-Szegő and Diaz-Metcalf type inequalities ⋮ Unnamed Item ⋮ Some new operator inequalities ⋮ Variants of Ando–Hiai inequality for operator power means ⋮ Two reverse inequalities associated with Tsallis relative operator entropy via generalized Kantorovich constant and their applications ⋮ Extension of the Kantorovich inequality for positive multilinear mappings

Cites Work

• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• A Schwarz inequality for positive linear maps on C\(^*\)-algebras
• Means of positive linear operators
• Operator inequalities associated with Hölder-McCarthy and Kantorovich inequalities
• A generalized Schwarz inequality and algebraic invariants for operator algebras
• A Schwarz Inequality for Convex Operator Functions
• Inequalities of Furuta and Mond-Pečarić
• Quasi-orders on the positive cone of aC^∗
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