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An Alexandrov type theorem for k-convex functions

Chaudhuri, Nirmalendu; Trudinger, Neil


In this note we show that k-convex functions on ℝn are twice differentiable almost everywhere for every positive integer k > n/2. This generalises Alexsandrov's classical theorem for convex functions.

CollectionsANU Research Publications
Date published: 2005
Type: Journal article
Source: Bulletin of the Australian Mathematical Society


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