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most citedThe resolvent average of monotone operators: dominant and recessive properties

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math.FA2010

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

Heinz H. Bauschke, Sarah M. Moffat, Xianfu Wang

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 proxi…