Approximation and decomposition properties of some classes of locally d.c. functions (Q1116447)
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scientific article; zbMATH DE number 4090244
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation and decomposition properties of some classes of locally d.c. functions |
scientific article; zbMATH DE number 4090244 |
Statements
Approximation and decomposition properties of some classes of locally d.c. functions (English)
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1988
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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.
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Lipschitzian functions
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inf-convolution
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locally d.c. functions
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difference of two convex functions
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Moreau-Yosida process
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lower-\(C^ 2\) functions
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approximation procedure
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