Browsing by Subject "Radially decreasing density"

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    On Rogers–Shephard type inequalities for general measures
    (Oxford University Press, 2019-02-22) Roysdon, Michael ; Zvavitch, Artem ; Yepes Nicolás, Jesús; Hernández Cifre, María de los Ángeles; Matemáticas; Facultades de la UMU::Facultad de Matemáticas
    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.