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Simplices in the Euclidean Ball

Published online by Cambridge University Press:  20 November 2018

Matthieu Fradelizi ,
Grigoris Paouris  and
Carsten Schütt
Matthieu Fradelizi
Affiliation:
Université Paris-Est Marne-la-Vallée, Laboratoire d’Analyse et de Mathématiques Appliquées, UMR 8050, 77454 Marne-la-Vallée, Cedex 2, Francee-mail: matthieu.fradelizi@univ-mlv.fr
Grigoris Paouris
Affiliation:
Department of Mathematics, Texas A & M University, College Station, TX 77843, USAe-mail: grigoris paouris@yahoo.co.uk
Carsten Schütt
Affiliation:
Mathematisches Seminar, Christian Albrechts Universität, 24098 Kiel, Germanye-mail: schuett@math.uni-kiel.de
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Abstract

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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 $K$.

Keywords

52A20convex bodysimplex
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 3 , 01 September 2012 , pp. 498 - 508
Copyright
Copyright © Canadian Mathematical Society 2012

References

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