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math.MG2023★ 4 cited
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…
math.MG2023★ 11 cited
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…