General sufficient conditions for the convexity of a function (Q686866)
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scientific article; zbMATH DE number 428751
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | General sufficient conditions for the convexity of a function |
scientific article; zbMATH DE number 428751 |
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General sufficient conditions for the convexity of a function (English)
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13 October 1993
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This paper studies the conditions for a given function to be convex. Sufficient conditions for a lower or upper semi-continuous function to be convex are obtained. These generalize the well-known result that the monotonicity conditions for the subdifferentials imply the convexity of a locally Lipschitz function. Some interesting numerical examples are provided to illustrate the results.
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convexity
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semi-continuous function
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monotonicity conditions
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subdifferentials
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