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Improved Heinz inequality and its application

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Publication:371932
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DOI10.1186/1029-242X-2012-113zbMath1277.26025OpenAlexW2158053054WikidataQ59289750 ScholiaQ59289750MaRDI QIDQ371932

Youyi Jiang, Li-Min Zou

Publication date: 11 October 2013

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-113


zbMATH Keywords

convex functionHeinz inequalityHilbert-Schmidt norm


Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inequalities for sums, series and integrals (26D15) Inequalities involving other types of functions (26D07)


Related Items (2)

Improved Young and Heinz operator inequalities with Kantorovich constant ⋮ Numerous refinements of Pólya and Heinz operator inequalities



Cites Work

  • On the convexity of the Heinz means
  • Some inequalities for positive linear maps
  • Improved Young and Heinz inequalities for matrices
  • Some inequalities for unitarily invariant norms of matrices
  • More Matrix Forms of the Arithmetic-Geometric Mean Inequality


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