Article
Brunn-Minkowski and Zhang inequalities for convolution bodies
Author/s | Alonso Gutiérrez, David
Jiménez Gómez, Carlos Hugo Villa Caro, Rafael |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2013-05-01 |
Deposit Date | 2016-06-03 |
Published in |
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Abstract | A quantitative version of Minkowski sum, extending the definition of θ-convolution of convex bodies, is studied to obtain extensions of the Brunn-Minkowski and Zhang inequalities, as well as, other interesting properties ... A quantitative version of Minkowski sum, extending the definition of θ-convolution of convex bodies, is studied to obtain extensions of the Brunn-Minkowski and Zhang inequalities, as well as, other interesting properties on Convex Geometry involving convolution bodies or polar projection bodies. The extension of this new version to more than two sets is also given. |
Project ID. | info:eu-repo/grantAgreement/MINECO/MTM2012-30748
P08-FQM-03543 MTM2010-16679 04540/GERM/06 |
Citation | Alonso Gutiérrez, D., Jiménez Gömez, C.H. y Villa Caro, R. (2013). Brunn-Minkowski and Zhang inequalities for convolution bodies. Advances in Mathematics, 238, 50-69. |
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