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arXiv · 1809.04051

On Rogers-Shephard type inequalities for general measures

David Alonso-Gutiérrez·María A. Hernández Cifre·Michael Roysdon·Jesús Yepes Nicolás·Artem Zvavitch
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Abstract

In this paper we prove a series of Rogers-Shephard type inequalities for convex bodies when dealing with measures on the Euclidean space with either radially decreasing densities, or quasi-concave densities attaining their maximum at the origin. Functional versions of classical Rogers-Shephard inequalities are also derived as consequences of our approach.

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David Alonso-Gutiérrez, María A. Hernández Cifre, Michael Roysdon, Jesús Yepes Nicolás, Artem Zvavitch. 2018-09-11. On Rogers-Shephard type inequalities for general measures. https://arxiv.org/abs/1809.04051

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