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Some Inequalities for Matrix Power Means

Bulletin of the Iranian Mathematical Society, 2019
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Matrix inequalities related to power means of probability measures

Linear and Multilinear Algebra, 2021
For a probability measure of compact support μ on the set Pn of all positive definite matrices and t∈(0,1], let Pt(μ) be the unique positive solution of X=∫PnX♯tZdμ(Z).
Mohsen Kian, Mohammad Sal Moslehian
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Reverse inequalities for geometric and power means

Ukrainian Mathematical Journal, 2012
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Inequalities for differences of power means in two variables

Analysis Mathematica, 2011
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Wu, Shanhe, Debnath, Lokenath
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Variants of Ando–Hiai inequality for operator power means

Linear and Multilinear Algebra, 2019
It is known that for every t∈(0,1] and every k-tuple of positive invertible operators A=(A1,…,Ak), the Ando–Hiai type inequality for operator power means Pt/r(ω;Ar)≤Pt(ω;A)rfor all r≥1 holds, where...
Mohsen Kian, M. S. Moslehian, Yuki Seo
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Another Proof of the Inequality Between Power Means

The College Mathematics Journal, 1988
(1988). Another Proof of the Inequality Between Power Means. The College Mathematics Journal: Vol. 19, No. 1, pp. 56-58.
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Inequalities for \(J\)-contractions involving the \(\alpha\)-power mean

2009
For a selfadjoint involution matrix \(J\) on \(\mathbb{C}^{n}\), i.e., \(J=J^{*}\) and \(J^{2}=J\), one can consider \(\mathbb{C}^{n}\) with the indefinite Krein space structure endowed by the indefinite inner product \([x,y]:=y^{*}Jx\). Several authors have studied properties of the Krein space, especially, matrix inequalities based on the indefinite ...
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