Extension of Convex Function
Classical Analysis and ODEs
2013-08-08 v5 Dynamical Systems
Abstract
We study the local and global versions of the convexity, which is closely related to the problem of extending a convex function on a non-convex domain to a convex function on the convex hull of the domain and beyond the convex hull. We also give the parallel results for the convexity defined by positive definite Hessian.
Cite
@article{arxiv.1207.0944,
title = {Extension of Convex Function},
author = {Min Yan},
journal= {arXiv preprint arXiv:1207.0944},
year = {2013}
}
Comments
28 pages, 11 Figures, should be the final definitive version