Now showing items 1-2 of 2
Approximation of Lipschitz functions by Δ-convex functions in banach spaces [Article]
In this paper we give some results about the approximation of a Lipschitz function on a Banach space by means of ∆-convex functions. In particular, we prove that the density of ∆-convex functions in the set of Lipschitz ...
On regularization in superreflexive Banach spaces by infimal convolution formulas [Article]
(Polish Academy of Sciences, Institute of Mathematics, 1998)
We present here a new method for approximating functions defined on superreflexive Banach spaces by differentiable functions with α-H¨older derivatives (for some 0 < α ≤ 1). The smooth approximation is given by means of ...