On the operator Aczél inequality and its reverse

DOI10.7153/jmi-2021-15-19OpenAlexW3158576085MaRDI QIDQ4992477

M. R. Jabbarzadeh, Venus Kaleibary, Shigeru Furuichi

Publication date: 9 June 2021

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.05088

zbMATH Keywords

operator monotone functiongeometrically convex functionKantorovich constantAczél's inequalityoperator convex functions

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Inequalities for sums, series and integrals (26D15) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (1)

Operator geodesically convex functions and their applications

Cites Work

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• Operator Aczél inequality
• A matrix reverse Hölder inequality
• Operator inequalities involving improved Young and its reverse inequalities
• A generalization of J. Aczél's inequality in inner product spaces
• Generalizations of refined Hölder's inequalities and their applications
• Reverses of operator Aczél inequality
• Jensen and Minkowski inequalities for operator means and anti-norms
• Some inequalities involving operator monotone functions and operator means
• Eigenvalue inequalities related to the Ando-Hiai inequality
• Refinements of a reversed AM–GM operator inequality

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