[HTML][HTML] Rogers–Shephard inequality for log-concave functions
D Alonso-Gutiérrez, BG Merino, CH Jiménez… - Journal of Functional …, 2016 - Elsevier
In this paper we prove different functional inequalities extending the classical Rogers–
Shephard inequalities for convex bodies. The original inequalities provide an optimal …
Shephard inequalities for convex bodies. The original inequalities provide an optimal …
Reverse Loomis-Whitney inequalities via isotropicity
D Alonso-Gutiérrez, S Brazitikos - Proceedings of the American …, 2021 - ams.org
Given a centered convex body $ K\subseteq\mathbb {R}^ n $, we study the optimal value of
the constant $\tilde {\Lambda}(K) $ such that there exists an orthonormal basis $\{w_i\} _ {i …
the constant $\tilde {\Lambda}(K) $ such that there exists an orthonormal basis $\{w_i\} _ {i …
On the Convolution Bodies of -Addition
Z Zhang - Results in Mathematics, 2022 - Springer
In this paper, we extend the definition of the θ \documentclass[12pt]{minimal} \usepackage{amsmath}
\usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} …
\usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} …
Distribution of mass in high-dimensional convex bodies
D Alonso-Gutiérrez - 2017 - zaguan.unizar.es
In this paper we will explore the interaction between convex geometry and proba-bility in the
study of the distribution of volume in high-dimensional convex bodies. On the one hand, a …
study of the distribution of volume in high-dimensional convex bodies. On the one hand, a …