Theorems · Theorem · real analysis
strictConvexOn_zpow
∀ {m : ℤ}, m ≠ 0 → m ≠ 1 → StrictConvexOn ℝ (Set.Ioi 0) fun x => x ^ mx^m, m : ℤ is convex on (0, +∞) for all m except 0 and 1.
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- Foundations
- Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
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- Set.Icoproof · cited by 799
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