Geodesic
Permanence of moment estimates for $p$-products of convex bodies
Ulrich Brehm1 ; Hendrik Vogt1 ; Jürgen Voigt1
1 Fachrichtung Mathematik Technische Universität Dresden D-01062 Dresden, Germany
Studia Mathematica, Tome 150 (2002) no. 3, pp. 243-260

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

It is shown that two inequalities concerning second and fourth moments of isotropic normalized convex bodies in ${\mathbb R}^n$ are permanent under forming $p$-products. These inequalities are connected with a concentration of mass property as well as with a central limit property. An essential tool are certain monotonicity properties of the ${\mit \Gamma }$-function.
DOI : 10.4064/sm150-3-3
Keywords: shown inequalities concerning second fourth moments isotropic normalized convex bodies mathbb permanent under forming p products these inequalities connected concentration mass property central limit property essential tool certain monotonicity properties mit gamma function

Ulrich Brehm 1 ; Hendrik Vogt 1 ; Jürgen Voigt 1

1 Fachrichtung Mathematik Technische Universität Dresden D-01062 Dresden, Germany 
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Ulrich Brehm; Hendrik Vogt; Jürgen Voigt. Permanence of moment estimates for
 $p$-products of convex bodies. Studia Mathematica, Tome 150 (2002) no. 3, pp. 243-260. doi: 10.4064/sm150-3-3

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