Reverse arithmetic-harmonic mean and mixed mean operator inequalities

DOI10.1186/S13660-015-0735-ZzbMath1338.47012OpenAlexW1507331285WikidataQ59434863 ScholiaQ59434863MaRDI QIDQ264940

Junliang Wu, Wenshi Liao

Publication date: 1 April 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0735-z

zbMATH Keywords

operator inequalitiesarithmetic-harmonic meanKantorovich constantmixed mean

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Linear operators in (C^*)- or von Neumann algebras (47C15) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (7)

Means refinements via convexity ⋮ Norm inequalities related to the Heron and Heinz means ⋮ On a new generalized Tsallis relative operator entropy ⋮ Inequalities related to the arithmetic, geometric and harmonic means ⋮ Convex functions and means of matrices ⋮ On the matrix harmonic mean ⋮ Convexity and matrix means

Cites Work

• Unnamed Item
• Unnamed Item
• Jensen's operator and applications to mean inequalities for operators in Hilbert space
• Operator inequalities involving improved Young and its reverse inequalities
• Hermite and convexity
• A mixed arithmetic-mean-harmonic-mean matrix inequality
• On refined Young inequalities and reverse inequalities
• Reverse Young and Heinz inequalities for matrices
• Refined Young inequality with Kantorovich constant
• Kantorovich's inequality
• Upper and lower bounds for the arithmetic-geometric-harmonic means of positive definite matrices
• Matrix Hermite-Hadamard type inequalities

This page was built for publication: Reverse arithmetic-harmonic mean and mixed mean operator inequalities