Geodesic
Simplices in the Euclidean Ball
Canadian mathematical bulletin, Tome 55 (2012) no. 3, pp. 498-508

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DOI

We establish some inequalities for the second moment $$\frac{1}{\left| K \right|}\,{{\int }_{K}}\left| x \right|_{2}^{2}dx$$ of a convex body $K$ under various assumptions on the position of $K$ .
DOI : 10.4153/CMB-2011-142-1
Mots-clés : 52A20, convex body, simplex 
Fradelizi, Matthieu; Paouris, Grigoris; Schütt, Carsten. Simplices in the Euclidean Ball. Canadian mathematical bulletin, Tome 55 (2012) no. 3, pp. 498-508. doi: 10.4153/CMB-2011-142-1
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     title = {Simplices in the {Euclidean} {Ball}},
     journal = {Canadian mathematical bulletin},
     pages = {498--508},
     year = {2012},
     volume = {55},
     number = {3},
     doi = {10.4153/CMB-2011-142-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-142-1/}
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