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On Rogers–Shephard type inequalities for general measures

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2021 Paper_RS_measures.pdf(472.85 KB)
Date
2019-02-22
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Authors
Roysdon, Michael ; Zvavitch, Artem ; Yepes Nicolás, Jesús ; Hernández Cifre, María de los Ángeles
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Facultades de la UMU::Facultad de Matemáticas
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Publisher
Oxford University Press
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Matemáticas
DOI
https://doi.org/10.1093/imrn/rnz010
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info:eu-repo/semantics/article
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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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Rogers Shephard type inequalities , Quasi concave density , Radially decreasing density , Functional inequalities
Citation
David Alonso-Gutiérrez, María A Hernández Cifre, Michael Roysdon, Jesús Yepes Nicolás, Artem Zvavitch, On Rogers–Shephard Type Inequalities for General Measures, International Mathematics Research Notices, Volume 2021, Issue 10, May 2021, Pages 7224–7261
URI
http://hdl.handle.net/10201/213921
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