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On Brunn-Minkowski type inequalities for polar bodies

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2016 paper_B-M_polar.pdf(213.8 KB)
Date
2014-09-18
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Authors
Hernández Cifre, María de los Ángeles ; Yepes Nicolás, Jesús
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Facultades de la UMU::Facultad de Matemáticas
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Publisher
Springer
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Matemáticas
DOI
https://doi.org/10.1007/s12220-014-9541-y
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info:eu-repo/semantics/article
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Abstract
In this paper we prove a Brunn-Minkowski type inequality for the polar set of the p-sum of convex bodies, which generalizes previous results by Firey, and we show it has an equivalent multiplicative version. We also make some considerations for the polar set of the so-called difference body.
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Brunn Minkowski inequality , Polar body , Firey-addition , Rogers Shephard inequality
Citation
Hernández Cifre, M.A., Yepes Nicolás, J. On Brunn–Minkowski-Type Inequalities for Polar Bodies. J Geom Anal 26, 143–155 (2016)
URI
http://hdl.handle.net/10201/213902
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