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The five gradients inequality for non quadratic costs

Published 13 Oct 2022 in math.AP and math.OC | (2210.06809v1)

Abstract: We give a proof of the "five gradients inequality" of Optimal Transportation Theory for general costs of the form $c(x,y)=h(x-y)$ where $h$ is a $C1$ strictly convex radially symmetric function.

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