semiconvex

English

Alternative forms

• semi-convex

Etymology

From semi- +‎ convex.

Adjective

semiconvex (not comparable)

1. (mathematics, of a function, f) Having the property that for every compact subset of the domain, there exists a constant C such that f(x) + ½C|x|² is convex on the subset.
   • 2015, Katy Craig, “Nonconvex gradient flow in the Wasserstein metric and applications to constrained nonlocal interactions”, in arXiv‎^[1]:

     We also prove the first quantitative estimates on convergence of the discrete gradient flow or "JKO scheme" outside of the semiconvex case.