Results 161 to 170 of about 703,468 (190)

On refinements of some integral inequalities using improved power‐mean integral inequalities

Numerical Methods for Partial Differential Equations, 2020
AbstractIn this study, using power‐mean inequality and improved power‐mean integral inequality better approach than power‐mean inequality and an identity for differentiable functions, we get inequalities for functions whose derivatives in absolute value at certain power are convex.
Huriye Kadakal
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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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Means of Power Type and Their Inequalities

Mathematische Nachrichten, 1999
AbstractWe prove some general results on means of power type and their inequalities. Particularly, we study a new mean and compare this mean with the classical power means. Some results connected to compositions of power means are also presented. Our results are applied to some inequalities in the homogenization theory.
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The reverse Hölder inequality for power means

Journal of Mathematical Sciences, 2012
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Didenko, Viktor D., Korenovskyi, Anatolii A.   +1 more
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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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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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A Power Mean Inequality for the Gamma Function

Monatshefte f�r Mathematik, 2000
In this interesting paper, the author extends a result due to \textit{L. G. Lucht} [Aequationes Math. 39, No. 2/3, 204-209 (1990; Zbl 0705.39002)] on convexity-like inequalities for Euler's gamma function, involving the geometric mean. Let \(x_j>0,\;p_j>0\;(1\leq j\leq n),\;p_1+\cdots +p_n=1\) and \(n\geq 2\).
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Reverse inequalities for geometric and power means

Ukrainian Mathematical Journal, 2012
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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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