Abstract
We introduce a second-order upper Dini-directional derivative and obtain a second-order characterization for a continuously Gâteaux differentiable function to be a convex function.
| Original language | English |
|---|---|
| Pages (from-to) | 173-180 |
| Number of pages | 8 |
| Journal | Journal of Optimization Theory and Applications |
| Volume | 82 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jul 1994 |
| Externally published | Yes |
Keywords
- convex function
- Second-order upper Dini-directional derivative
- secondorder characterizations
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics
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