Mark Meyer

activity

20232026

collaborators

Showing 2026 · math.MGShow all

4 papers · 2 filters

math.MG2026

Norm rigidity and equality cases for the Dyn--Farkhi inequality

Mark Meyer

For a convex body $K \subset R^{2}$ that is symmetric with respect to the origin, and for a nonempty set $S \subset R^{2}$ , we study the $K$ -Hausdorff distance from conve…

math.MG2026

L_p-Rogers--Shephard type inequalities for L_p-zonoids and symmetric bodies

Matthieu Fradelizi, Auttawich Manui, Mark Meyer +1

We study generalizations of the classical Rogers--Shephard inequalities in the framework of Firey $L_{p}$ -summation. We first consider the class of asymmetric $L_{p}$ -zonoids. In this…

math.MG2026

Equality cases for the $L_{p}$ -Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $R^{n}$

Matthieu Fradelizi, Auttawich Manui, Mark Meyer +1

The classical Rogers--Shephard inequalities were extended to the Firey $L_{p}$ -summation by Bianchini and Colesanti in the plane and by Zvavitch and the second and fourth authors for…

math.MG2026

A sharp $p$ -subadditive bound for the $l_{p}$ Hausdorff distance from convex hull

Mark Meyer

We study the $ℓ_{p}$ Hausdorff distance from convex hull, which for a compact set $A \subset R^{n}$ is defined by \begin{align*} d^{(\ell_p)}(A):=\sup_{x\in \text{conv}(A)}\…

Norm rigidity and equality cases for the Dyn--Farkhi inequality

L_p-Rogers--Shephard type inequalities for L_p-zonoids and symmetric bodies

Equality cases for the Lp​-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in Rn

A sharp p-subadditive bound for the lp​ Hausdorff distance from convex hull

Equality cases for the $L_{p}$ -Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $R^{n}$

A sharp $p$ -subadditive bound for the $l_{p}$ Hausdorff distance from convex hull