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Listar Artículos (Análisis Matemático) por autor "Alonso Gutiérrez, David"
Mostrando ítems 1-4 de 4
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Artículo
Brunn-Minkowski and Zhang inequalities for convolution bodies
Alonso Gutiérrez, David; Jiménez Gómez, Carlos Hugo; Villa Caro, Rafael (Elsevier, 2013-05-01)A quantitative version of Minkowski sum, extending the definition of θ-convolution of convex bodies, is studied to obtain ...
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Artículo
John's ellipsoid and the integral ratio of a log-concave function
Alonso Gutiérrez, David; González Merino, Bernardo; Jiménez Gómez, Carlos Hugo; Villa Caro, Rafael (Springer, 2018-04)We extend the notion of John’s ellipsoid to the setting of integrable log-concave functions. This will allow us to define ...
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Artículo
Rogers-Shephard inequality for log-concave functions
Alonso Gutiérrez, David; González Merino, Bernardo; JIménez Gömez, Carlos Hugo; Villa Caro, Rafael (Elsevier, 2016-12-01)In this paper we prove different functional inequalities extending the classical Rogers-Shephard inequalities for convex ...
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Artículo
Volume inequalities for the i-th-convolution bodies
Alonso Gutiérrez, David; González Merino, Bernardo; Jiménez Gómez, Carlos Hugo (Elsevier, 2015-04-01)We obtain a new extension of Rogers-Sephard inequality providing an upper bound for the volume of the sum of two convex ...