Extensions of Hölder-McCarthy and Kantorovich inequalities and their applications

DOI10.3792/pjaa.73.38zbMath0885.47005OpenAlexW1997030269MaRDI QIDQ1364454

Takayuki Furuta

Publication date: 23 April 1998

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.73.38

zbMATH Keywords

Hölder-McCarthy and Kantorovich inequalitiesorder preserving power inequalities

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Miscellaneous inequalities involving matrices (15A45)

Related Items

Unnamed Item ⋮ New Kantorovich type inequalities for negative parameters ⋮ Log-convexity of generalized Kantorovich function ⋮ GENERALIZED KANTOROVICH CONSTANT, A NEW FORMULATION AND PROPERTIES ⋮ New inequalities of the Kantorovich type for bounded linear operators in Hilbert spaces ⋮ Some inequalities of Hölder type for quadratic weighted geometric mean of bounded linear operators in Hilbert spaces ⋮ REFINEMENTS AND REVERSES OF HÖLDER-MCCARTHY OPERATOR INEQUALITY VIA A CARTWRIGHT-FIELD RESULT ⋮ Specht's ratio and complementary inequalities to Golden-Thompson type inequalities on the Hadamard product

Cites Work

• Operator inequalities associated with Hölder-McCarthy and Kantorovich inequalities
• Operator inequalities related to Cauchy-Schwarz and Hölder-McCarthy inequalities
• Some matrix inequalities
• \(c_ p\)
• A matrix version of the Ky Fan generalization of the kantorovich inequality
• An operator monotone function \(\frac{t\log t-t+1}{\log^2 t}\) and strictly chaotic order