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TdafSurface.Rockafellar.Part5

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.

§modulesubject
23Part5.Section23Directional Derivatives and Subgradients
24Part5.Section24Differential Continuity and Monotonicity
25Part5.Section25Differentiability of Convex Functions
26Part5.Section26The 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.