Open Access
Winter 2012 Estimates for the affine and dual affine quermassintegrals of convex bodies
Nikos Dafnis, Grigoris Paouris
Illinois J. Math. 56(4): 1005-1021 (Winter 2012). DOI: 10.1215/ijm/1399395821

Abstract

We provide estimates for suitable normalizations of the affine and dual affine quermassintegrals of a convex body $K$ in $\mathbb{R}^{n}$. These follow by a more general study of normalized $p$-means of projection and section functions of $K$.

Citation

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Nikos Dafnis. Grigoris Paouris. "Estimates for the affine and dual affine quermassintegrals of convex bodies." Illinois J. Math. 56 (4) 1005 - 1021, Winter 2012. https://doi.org/10.1215/ijm/1399395821

Information

Published: Winter 2012
First available in Project Euclid: 6 May 2014

zbMATH: 1335.52008
MathSciNet: MR3231472
Digital Object Identifier: 10.1215/ijm/1399395821

Subjects:
Primary: 46B06 , 52A20 , 52A21

Rights: Copyright © 2012 University of Illinois at Urbana-Champaign

Vol.56 • No. 4 • Winter 2012
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