MEDIA PROXIMAL y LAS ENVOLTURAS DE MOREAU y GOEBEL
DOI:
https://doi.org/10.15381/pes.v15i1.9600Keywords:
Convex analysis, proximal average, Fenchel conjugate, Moreau envelope, Goebel envelope.Abstract
It has a function P (ƒ, λ) call proximal half the average of two or more functions, which has the advantage that these functions may be disjoint or not their domains.
Applications include highlights some approximation schemes, can be expressed in terms of it and from it, you can also achieve other approximation scheme, which also can be autoduales and in this case it is easy to prove this fact.
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Copyright (c) 2012 Marlo Carranza Purca, Tomás Alberto Núñez Lay
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