Extension of Convex Function

By Min Yan. 2012

69 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/862aba59280b064ecfdab3f7941292c707cb584a

Citations in the corpus

• Quantitative stability of optimal transport maps under variations of the target measure (2021, unknown): “4 in [33], the potential φα,β can be extended into a C2 strongly convex function on Rd.”