Approximation and decomposition properties of some classes of locally d.c. functions
type: Item
instance of: scholarly article
title: Approximation and decomposition properties of some classes of locally d.c. functions
zbMATH Open document ID: 0666.49005
DOI: 10.1007/BF01580764
published in: Mathematical Programming. Series A. Series B
publication date: 1988-01-01T00:00:00Z
review text: We study the connexion between local and global decompositions of some important subclasses of locally d.c. functions (functions which locally split as a difference of two convex functions). Then we tackle the problem of regularizing such functions by the Moreau-Yosida process and prove in particular that the class of lower-\(C^ 2\) functions fits well this approximation procedure.
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 26B25
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 49M27
Mathematics Subject Classification ID: 90C55
zbMATH DE Number: 4090244
zbMATH Keywords: Lipschitzian functions
zbMATH Keywords: inf-convolution
zbMATH Keywords: locally d.c. functions
zbMATH Keywords: difference of two convex functions
zbMATH Keywords: Moreau-Yosida process
zbMATH Keywords: lower-\(C^ 2\) functions
zbMATH Keywords: approximation procedure
author: Jean-Paul Penot
author: M. L. Bougeard
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01580764
OpenAlex ID: W2024615944
description: scientific article; zbMATH DE number 4090244