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Listar por autor "González Merino, Bernardo"
Mostrando ítems 1-5 de 5
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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
On the isodiametric and isominwidth inequalities for planar bisections
Cañete Martín, Antonio Jesús; González Merino, Bernardo (Cornell University, 2019)For a given planar convex compact set K, consider a bisection {A,B} of K (i.e., A [ B = K and whose common boundary A \ ...
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Artículo
On the isodiametric and isominwidth inequalities for planar bisections
Cañete Martín, Antonio Jesús; González Merino, Bernardo (European Mathematical Society (EMS), 2021)For a given planar convex body K, a bisection of K is a decomposition of K into two closed sets A,B so that A∩B is an ...
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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 ...