Complementary and refined inequalities of Callebaut inequality for operators

DOI10.1080/03081087.2014.967234zbMath1321.47036arXiv1410.1114OpenAlexW2060540168MaRDI QIDQ4981989

Mojtaba Bakherad, Mohammad Sal Moslehian

Publication date: 23 March 2015

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

Full work available at URL: https://arxiv.org/abs/1410.1114

zbMATH Keywords

Hadamard productpositive operatorsoperator geometric meanMond-Pečarić methodCallebaut inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (3)

Extensions of interpolation between the arithmetic-geometric mean inequality for matrices ⋮ Some reversed and refined Callebaut inequalities via Kantorovich constant ⋮ Some matrix power and Karcher means inequalities involving positive linear maps

Cites Work

• Non-commutative Callebaut inequality
• A treatment of the Cauchy-Schwarz inequality in \(C^{*}\)-modules
• A matrix reverse Hölder inequality
• On some refinement of the Cauchy--Schwarz inequality
• A matrix reverse Cauchy-Schwarz inequality
• Means of positive linear operators
• On the Cauchy-Schwarz inequality and its reverse in semi-inner product \(C^*\)-modules
• Generalization of the Cauchy-Schwarz inequality
• Inequalities involving unitarily invariant norms and operator monotone functions

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