Zhang’s reverse affine isoperimetric inequality states that among all convex bodies K⊆ ℝn, the affine invariant quantity |K|n−1| Π∗(K)| (where Π∗(K) denotes the polar projection body of K) is minimized if and only if K is a simplex. In this paper we prove an extension of Zhang’s inequality in the setting of integrable log-concave functions, characterizing also the equality cases.
CITATION STYLE
Alonso-Gutiérrez, D., Bernués, J., & González Merino, B. (2020). Zhang’s inequality for log-concave functions. In Lecture Notes in Mathematics (Vol. 2256, pp. 29–48). Springer. https://doi.org/10.1007/978-3-030-36020-7_2
Mendeley helps you to discover research relevant for your work.