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A universal scaling law of intra-urban inequality. [PDF]
Huang C +5 more
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Mobbing, Gender Roles, and Job Satisfaction Among Healthcare Radiation Workers: A Cross-Cultural Study. [PDF]
Şahin MC, Başkaya E, Udriștioiu MT.
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Disproportionate exposure to extreme floods in historically redlined U.S. communities. [PDF]
Appel E +3 more
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Exploring the value of lived experience in a mental health research centre. [PDF]
Burgess R +10 more
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A Power Mean Inequality for the Gamma Function
Monatshefte Fur Mathematik, 2000In 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 \(n\geq 2\).
Horst Alzer
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On refinements of some integral inequalities using improved power‐mean integral inequalities
Numerical Methods for Partial Differential Equations, 2020AbstractIn 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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Generalizations of mixed weighted power mean inequality
Journal of Shanghai University, 2006Let \(x=\left( x_{1},x_{2},\dots ,x_{n}\right) \), \(q=\left( q_{1},q_{2},\dots ,q_{n}\right) ,\) 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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Means of Power Type and Their Inequalities
Mathematische Nachrichten, 1999AbstractWe 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, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Didenko, Viktor D. +1 more
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Power means and the reverse Hölder inequality
Studia Mathematica, 2011Let 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 +1 more
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