Article
Volume inequalities for the i-th-convolution bodies
Author/s | Alonso Gutiérrez, David
González Merino, Bernardo Jiménez Gómez, Carlos Hugo ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2015-04-01 |
Deposit Date | 2016-10-03 |
Published in |
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Abstract | We obtain a new extension of Rogers-Sephard inequality providing
an upper bound for the volume of the sum of two convex bodies K and L. We also give lower bounds for the volume of the k-th limiting convolution body of two ... We obtain a new extension of Rogers-Sephard inequality providing an upper bound for the volume of the sum of two convex bodies K and L. We also give lower bounds for the volume of the k-th limiting convolution body of two convex bodies K and L. Special attention is paid to the (n−1)-th limiting convolution body, for which a sharp inequality, which is equality only when K = −L is a simplex, is given. Since the n-th limiting convolution body of K and −K is the polar projection body of K, these inequalities can be viewed as an extension of Zhang’s inequality. |
Project ID. | MTM2010-16679
![]() MTM2009-10418 ![]() 04540/GERM/06 ![]() info:eu-repo/grantAgreement/MINECO/MTM2012-34037 ![]() 180486 ![]() |
Citation | Alonso Gutiérrez, D., González Merino, B. y Jiménez Gómez, C.H. (2015). Volume inequalities for the i-th-convolution bodies. Journal of Mathematical Analysis and Applications, 424 (1), 385-401. |
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