Self-dual Smooth Approximations of Convex Functions via the Proximal Average

Details Self-dual Smooth Approximations of Convex Functions via the Proximal Average Self-dual Smooth Approximations of Convex Functions via the Proximal Average

2010-03-30

arxiv.org/abs/1003.5866v1

Mathematics

Functional Analysis

Scientific paper

The proximal average of two convex functions has proven to be a useful tool
in convex analysis. In this note, we express Goebel's self-dual smoothing
operator in terms of the proximal average, which allows us to give a simple
proof of self duality. We also provide a novel self-dual smoothing operator.
Both operators are illustrated by smoothing the norm.

Affiliated with

Also associated with

No associations

Rating

Self-dual Smooth Approximations of Convex Functions via the Proximal Average does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Self-dual Smooth Approximations of Convex Functions via the Proximal Average, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-dual Smooth Approximations of Convex Functions via the Proximal Average will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-81553