Results 261 to 270 of about 706,288 (287)

Generalizations of mixed weighted power mean inequality

Journal of Shanghai University (English Edition), 2006
Let \(x=\left( x_{1},x_{2},\dots ,x_{n}\right) \), \(q=\left( q_{1},q_{2},\dots ,q_{n}\right) ,\) with \(x_{i}>0,q_{i}>0\) \(\left( i=1,2,\dots ,n\right) \) and \(a\) be a real number. Denote \(Q_{n}= \sum_{i=1}^{n}q_{i},\) \[ M_{n}^{[a]}(x;q)=\begin{cases} \left( \frac{1}{Q_{n}}\sum_{i=1}^{n}q_{i}x_{i}^{a}\right) ^{{1}/{a}},&a\neq 0, \\ \left( \prod_ ...
Ma, Tongyi, Zhang, Haijuan
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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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Some Inequalities for Matrix Power Means

Bulletin of the Iranian Mathematical Society, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Power means and the reverse Hölder inequality

Studia Mathematica, 2011
Let w be a non-negative measurable function defined on the positive semi-axis and satisfying the reverse Holder inequality with exponents 0 0, are obtained for various exponents α. As a result, for the function w a property of the self-improvement of the summability exponents is established.
Victor D. Didenko, Anatolii A. Korenovskyi   +1 more
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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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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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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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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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The Power Mean Inequality

1996
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