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math.FA2023
Comparison Problems for Radon Transforms
Alexander Koldobsky, Michael Roysdon, Artem Zvavitch
Given two non-negative functions and such that the Radon transform of is pointwise smaller than the Radon transform of , does it follow that the -norm of is…
math.FA2023
On the -Order Weighted Projection Body Operator and Related Inequalities
Dylan Langharst, Eli Putterman, Michael Roysdon +1
For a convex body in , the inequalities of Rogers-Shephard and Zhang, written succinctly, are $$\text{vol}_n(DK)\leq \binom{2n}{n} \text{vol}_n(K) \leq \text{vol}_…
math.FA2023★ 8 cited
Affine Isoperimetric Inequalities for Higher-Order Projection and Centroid Bodies
Julián Haddad, Dylan Langharst, Eli Putterman +2
In 1970, Schneider introduced the th order difference body of a convex body, and also established the th-order Rogers-Shephard inequality. In this paper, we extend this idea…