Improved Young and Heinz inequalities with the Kantorovich constant

DOI10.7153/JMI-10-44zbMath1358.15013arXiv1506.00226OpenAlexW2964295795MaRDI QIDQ2790796

Wenshi Liao, Junliang Wu

Publication date: 8 March 2016

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

Full work available at URL: https://arxiv.org/abs/1506.00226

zbMATH Keywords

\(C^*\)-algebraoperator inequalitiesYoung inequalityKantorovich constantHeinz meanAGM inequalityHilbert-Schmidt norm inequalities

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Means (26E60) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (7)

Operator iteration on the Young inequality ⋮ Improved Jensen-type inequalities via quadratic interpolation and applications ⋮ New versions of refinements and reverses of Young-type inequalities with the Kantorovich constant ⋮ Improved Young and Heinz operator inequalities with Kantorovich constant ⋮ Multiple-term refinements of Young type inequalities ⋮ New progress on the operator inequalities involving improved Young's and its reverse inequalities relating to the Kantorovich constant ⋮ Some generalizations of real power form for Young-type inequalities and their applications

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