Rockafellar, Part V: Differential Theory #
R. T. Rockafellar, Convex Analysis (Princeton, 1970), §§23–26. This module imports the four section modules and adds nothing of its own.
| § | module | subject |
|---|---|---|
| 23 | Part5.Section23 | Directional Derivatives and Subgradients |
| 24 | Part5.Section24 | Differential Continuity and Monotonicity |
| 25 | Part5.Section25 | Differentiability of Convex Functions |
| 26 | Part5.Section26 | The Legendre Transformation |
All 49 of Part V's numbered results are formalized. Theorems 24.1–24.3 are stated over ℝ itself
rather than over Rn 1, which is the book's own reading of them; everything else in the Part is
over Rn n with pairing n.