Meetup 8: Constructing Convex Functions

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Author

George I. Hagstrom

Published

March 18, 2025

I have uploaded the slides for Meetup 8.

We discussed rules for constructing convex functions and showing that functions are convex. In particular, we learned that positive weighted sums of convex functions are convex (both finite and infinite), that this extends to integration, and that maximization of convex functions (both finite and infinite) both preserve convexity. Then we discussed composition, presenting both scalar and vector composition rules.