Results 141 to 150 of about 36,362 (173)

A Power Mean Inequality for the Gamma Function

Monatshefte Fur 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 \(n\geq 2\).
Horst Alzer, Alzer Horst
exaly   +2 more sources

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
exaly   +3 more sources

Generalizations of mixed weighted power mean inequality

Journal of Shanghai University, 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
exaly   +3 more sources

The reverse Hölder inequality for power means

Journal of Mathematical Sciences, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Didenko, Viktor D.   +1 more
openaire   +2 more sources

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   +1 more
openaire   +1 more source

Some Inequalities for Matrix Power Means

Bulletin of the Iranian Mathematical Society, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

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