Theorems · Theorem · real analysis
strictConvexOn_pow
∀ {n : ℕ}, 2 ≤ n → StrictConvexOn ℝ (Set.Ici 0) fun x => x ^ nx^n, n : ℕ is strictly convex on [0, +∞) for all n greater than 2.
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- Foundations
- Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- mul_lt_mul_of_pos_leftproof · cited by 71
- convex_Iciproof · cited by 29
- interior_Iciproof · cited by 14
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