Geodesic
Permanence of moment estimates for $p$-products of convex bodies
Ulrich Brehm 1   ; Hendrik Vogt 1   ; Jürgen Voigt 1
1 Fachrichtung Mathematik Technische Universität Dresden D-01062 Dresden, Germany
Studia Mathematica, Tome 150 (2002) no. 3, pp. 243-260 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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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 $p$-products of convex bodies
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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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