On matrix inequalities between the power means: Counterexamples

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Audenaert, Koenraad M.R., and Fumio Hiai. “On Matrix Inequalities Between the Power Means: Counterexamples”. Linear Algebra and Its Applications, vol. 439, no. 5, 2013, pp. 1590-04, https://doi.org/10.1016/j.laa.2013.04.012.
Audenaert, K. M., & Hiai, F. (2013). On matrix inequalities between the power means: Counterexamples. Linear Algebra and Its Applications, 439(5), 1590-1604. https://doi.org/10.1016/j.laa.2013.04.012
Audenaert, Koenraad M.R., and Fumio Hiai. “On Matrix Inequalities Between the Power Means: Counterexamples”. Linear Algebra and Its Applications 439, no. 5 (2013): 1590-1604. https://doi.org/10.1016/j.laa.2013.04.012.
Audenaert KM, Hiai F. On matrix inequalities between the power means: Counterexamples. Linear Algebra and its Applications. 2013;439(5):1590-604.
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Mathematics
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Industrial engineering
Management engineering
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Quantitative methods
Refrences
Title Journal Journal Categories Citations Publication Date
Norm inequalities related to the matrix geometric mean Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
33 2012
Some inequalities for positive linear maps Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
25 2012
Jensen’s inequality for operators without operator convexity Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
12 2011
Norm and anti-norm inequalities for positive semi-definite matrices 2011
Jensen’s inequality for operators and Löwner’s theorem Mathematische Annalen
  • Science: Mathematics
1982
Refrences Analysis
The category Science: Mathematics 8 is the most frequently represented among the references in this article. It primarily includes studies from Linear Algebra and its Applications and Mathematische Annalen. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
On Certain Order Properties of Non Kubo–Ando Means in Operator Algebras Integral Equations and Operator Theory
  • Science: Mathematics
4 2022
Matrix power means and new characterizations of operator monotone functions Linear and Multilinear Algebra
  • Science: Mathematics
2022
A New Type of Operator Convexity Acta Mathematica Vietnamica
  • Science: Mathematics
2 2018
Some inequalities for operator (p, h)-convex functions Linear and Multilinear Algebra
  • Science: Mathematics
4 2017
Developed matrix inequalities via positive multilinear mappings Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
7 2015
Citations Analysis
The category Science: Mathematics 7 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Concavity of certain matrix trace and norm functions and was published in 2013. The most recent citation comes from a 2022 study titled Matrix power means and new characterizations of operator monotone functions. This article reached its peak citation in 2022, with 2 citations. It has been cited in 5 different journals. Among related journals, the Linear and Multilinear Algebra cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year