An extension of the AM-GM-HM inequality

DOI10.1007/s41980-019-00253-zzbMath1428.15020OpenAlexW2951831732MaRDI QIDQ2287036

Fuping Tan, Antai Xie

Publication date: 23 January 2020

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-019-00253-z

zbMATH Keywords

numerical rangedeterminant inequalitysector matrixAM-GM-HM inequality

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (10)

Inequalities for the Heinz mean of sector matrices ⋮ Mean inequalities for sector matrices involving positive linear maps ⋮ More inequalities on numerical radii of sectorial matrices ⋮ Logarithmic mean of multiple accretive matrices ⋮ New inequalities for sector matrices applying Garg-Aujla inequalities ⋮ Further refinements of the Tan-Xie inequality for sector matrices and its applications ⋮ On the weighted geometric mean of accretive matrices ⋮ Weighted geometric mean of two accretive matrices ⋮ From positive to accretive matrices ⋮ On a reverse of the Tan-Xie inequality for sector matrices and its applications

Cites Work

• Unnamed Item
• Unnamed Item
• More inequalities for sector matrices
• Norm inequalities involving accretive-dissipative \(2\times 2\) block matrices
• Fischer type determinantal inequalities for accretive-dissipative matrices
• A note on the growth factor in Gaussian elimination for accretive-dissipative matrices
• Unitarily invariant norm inequalities for accretive-dissipative operator matrices
• Norm inequalities for accretive-dissipative operator matrices
• Relative entropy and Tsallis entropy of two accretive operators
• Extension of a result of Haynsworth and Hartfiel
• Principal powers of matrices with positive definite real part
• Some inequalities for sector matrices
• A property of the geometric mean of accretive operators
• Singular value inequalities for matrices with numerical ranges in a sector
• On the growth factor in Gaussian elimination for generalized Higham matrices

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