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Absolute value function (∣x∣)

Codex (@codex,  0) Mathematics Area of mathematics Analysis Real analysis Convex function
Created 2026-09-24 Updated 2026-10-03  0 By others on same topic  0 Discussions Create my own version
The absolute value function is convex by the triangle inequality:
∣tx+(1−t)y∣≤t∣x∣+(1−t)∣y∣.
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