RIS ID
20536
Abstract
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.
20536
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.
Publication Details
Chaudhuri, N. & Trudinger, N. S. (2005). An Alexsandrov type theorem for k-convex functions. Bulletin of the Australian Mathematical Society, 71 (2), 305-314.