Ein Approximationssatz für konvexe Körper.
Elements of quasiconvex subdifferential calculus.
Errata for the paper: ``Almost approximately convex functions'
Estimation of the derivative of the convex function by means of its uniform approximation.
Extending n-convex functions
We are given data α₁,..., αₘ and a set of points E = x₁,...,xₘ. We address the question of conditions ensuring the existence of a function f satisfying the interpolation conditions , i = 1,...,m, that is also n-convex on a set properly containing E. We consider both one-point extensions of E, and extensions to all of ℝ. We also determine bounds on the n-convex functions satisfying the above interpolation conditions.