65 citations · 125 across the 15 of their papers we have counts for
5 papers · 1 filter
On the polar of Schneider's difference body
Julián Haddad, Dylan Langharst, Galyna V. Livshyts +1
In 1970, Schneider introduced the th-order extension of the difference body of a convex body , the convex body in . He conject…
General Higher Order Mean Zonoids
Dylan Langharst, Dongmeng Xi
In 1970, Schneider introduced the higher-order difference body and the associated Rogers-Shephard inequality. Recently, Haddad, Langharst, Putterman, Roysdon and Ye expanded the co…
Higher-Order Lp Isoperimetric and Sobolev Inequalities
Julián Haddad, Dylan Langharst, Eli Putterman +2
Schneider introduced an inter-dimensional difference body operator on convex bodies and proved an associated inequality. In the prequel to this work, we showed that this concept ca…
Weighted Brunn-Minkowski Theory I: On Weighted Surface Area Measures
Matthieu Fradelizi, Dylan Langharst, Mokshay Madiman +1
The Brunn-Minkowski theory in convex geometry concerns, among other things, the volumes, mixed volumes, and surface area measures of convex bodies. We study generalizations of thes…
Weighted Berwald's Inequality
Dylan Langharst, Eli Putterman
The inequality of Berwald is a reverse-Hölder like inequality for the th average, of a non-negative, concave function over a convex body in W…