Higher-Order Reverse Isoperimetric Inequalities for Log-concave
Functions
Higher-Order Reverse Isoperimetric Inequalities for Log-concave
Functions
The Rogers-Shephard and Zhang's projection inequalities are two reverse, affine isoperimetric inequalities relating the volumes of a convex body and its difference body and polar projection body, respectively. Following a classical work by Schneider, both inequalities have been extended to the so-called higher-order setting. In this work, we establish the …