Matrix inequalities for the difference between arithmetic mean and harmonic mean

DOI10.15352/afa/06-3-16zbMath1391.15069arXiv1501.04823OpenAlexW2964077011MaRDI QIDQ2346172

Wenshi Liao, Junliang Wu

Publication date: 29 May 2015

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.04823

zbMATH Keywords

arithmetic meanmatrix inequalitypositive definite matrixharmonic mean

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Means (26E60)

Related Items (9)

Some results of Heron mean and Young's inequalities ⋮ Some results of Young-type inequalities ⋮ Some new improvements of Young's inequalities ⋮ Some refinements of real power form inequalities for convex functions via weak sub-majorization ⋮ Further refinements of real power form inequalities for convex functions via weak sub-majorization ⋮ Refinements of a reversed AM–GM operator inequality ⋮ Convexity and matrix means ⋮ A note on the paper ``Matrix inequalities for the difference between arithmetic mean and harmonic mean ⋮ Further refinements and generalizations of the Young's and its reverse inequalities

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