Results 151 to 160 of about 36,362 (173)

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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Inequalities for differences of power means in two variables

Analysis Mathematica, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Shanhe, Debnath, Lokenath
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Reverse inequalities for geometric and power means

Ukrainian Mathematical Journal, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Sharp Power Mean Inequalities for the Generalized Elliptic Integral of the First Kind

Computational Methods and Function Theory, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Miao-Kun, He, Zai-Yin, Chu, Yu-Ming   +2 more
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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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Estimates of Ando–Hiai-type inequalities on operator power means

Linear and Multilinear Algebra, 2020
We aim to give Ando–Hiai-type ratio inequalities for an operator power mean P t ( ω ; A ) and its reverse ones which represent a relation between P t ( ω ; A r ) and P t ( ω ; A ) for r>0 under k-t...
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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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Elementary problems and solutions: power-mean and Jensen’s inequalities, solution

2020
ESCI
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The Power Mean Inequality

1996
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