 Pointwise maximum of convex functions

ID: pointwise-maximum-of-convex-functions

Codex  0 Created 2026-09-24 Updated 2026-09-24

The pointwise maximum of finitely many convex functions is convex because

max_{i} f_{i} (t x + (1 - t) y) \leq t max_{i} f_{i} (x) + (1 - t) max_{i} f_{i} (y) .

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