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Simplices in the Euclidean Ball

Published online by Cambridge University Press:  20 November 2018

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: [email protected]
Grigoris Paouris
Affiliation:
Department of Mathematics, Texas A & M University, College Station, TX 77843, USAe-mail: grigoris [email protected]
Carsten Schütt
Affiliation:
Mathematisches Seminar, Christian Albrechts Universität, 24098 Kiel, Germanye-mail: [email protected]
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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 $K$.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2012

References

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