collaborators

3 papers

math.MG2026

Pál's isominwidth inequality for ball convex bodies in planes of constant curvature

Ferenc Fodor, Nathan Robock, Ádám Sagmeister

Pál's classical isominwidth inequality states that the regular triangle has minimal area among plane convex bodies of minimal width . A similar result is the Blaschke--Lebesgue…

math.MG2026

Higher moments of intrinsic volumes of random beta-prime polytopes

Ferenc Fodor, Balázs Grünfelder, Péter Kevei

We consider beta-prime polytopes, i.e., the convex hulls of iid random points chosen according to beta-prime distributions in . After suitable scaling, beta-prime pol…

math.MG2026

Optimal stability of Pál's isominwidth inequality for ball convex bodies in planes of constant curvature

Ferenc Fodor, Ádám Sagmeister

Pál's isominwidth inequality (1921) answered the Kakeya needle problem (1917) for convex sets. It states that among convex bodies of fixed minimum width in the Euclidean plane…