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math.FA1997
On regularization in superreflexive Banach spaces by infimal convolution formulas
Manuel Cepedello Boiso
We present here a new method for approximating functions defined on superreflexive Banach spaces by differentiable functions with -Hölder derivatives (for some ). The…
math.FA1997
Approximation of Lipschitz functions by -convex functions in Banach spaces
Manuel Cepedello Boiso
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 $…