Refinements of a reversed AM–GM operator inequality
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Publication:5741238
DOI10.1080/03081087.2015.1114984zbMath1380.47019arXiv1506.06414OpenAlexW2228076553MaRDI QIDQ5741238
Publication date: 22 July 2016
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.06414
positive unital linear mapoperator arithmetic meanoperator geometric meanoperator harmonic meanreverse AM-GM operator inequality
Linear operator inequalities (47A63) Functional calculus for linear operators (47A60) Operator means involving linear operators, shorted linear operators, etc. (47A64)
Related Items (10)
Further refinements of Young's type inequality for positive linear maps ⋮ New inequalities for sector matrices applying Garg-Aujla inequalities ⋮ A note on some inequalities for positive linear maps ⋮ Some operator inequalities involving operator means and positive linear maps ⋮ The Generalized Inequalities via Means and Positive Linear Mappings ⋮ The arithmetic-geometric mean inequality of indefinite type ⋮ Further refinements of reversed AM-GM operator inequalities ⋮ On the operator Aczél inequality and its reverse ⋮ Some matrix power and Karcher means inequalities involving positive linear maps ⋮ On a reverse of the Tan-Xie inequality for sector matrices and its applications
Cites Work
- Improved Young and Heinz inequalities for matrices
- On an operator Kantorovich inequality for positive linear maps
- Norm inequalities related to operator monotone functions
- Notes on matrix arithmetic-geometric mean inequalities
- Refinements of quasi-arithmetic means inequalities for Hilbert space operators
- Matrix inequalities for the difference between arithmetic mean and harmonic mean
- Some operator inequalities for positive linear maps
- Reverses and variations of Heinz inequality
- On some inequalities with matrix means
- Squaring a reverse AM-GM inequality
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