# A note on Alexsandrov type theorem for k-convex functions

created on 02 Nov 2004

[BibTeX]

Submitted Paper

Inserted: 2 nov 2004

Year: 2004

Abstract:

In this note we show that $k$-convex functions on $\Bbb R^n$ are twice differentiable almost everywhere for every positive integer $k>n/2$. This generalizes the classical Alexsandrov's theorem for convex functions.