Theorems · Theorem · real analysis
convexOn_rpow
∀ {p : ℝ}, 1 ≤ p → ConvexOn ℝ (Set.Ici 0) fun x => x ^ p- Cited by
- 2 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Set.Icistatement and proof · cited by 1,070
- ConvexOnstatement and proof · cited by 232
- Real.rpow_oneproof · cited by 114
- eq_or_lt_of_leproof · cited by 92
- convex_Iciproof · cited by 29
- StrictConvexOn.convexOnproof · cited by 10
- convexOn_idproof · cited by 4
- strictConvexOn_rpowproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Integrable.norm_condExp_rpow_leproof · cited by 3
- Real.rpow_arith_mean_le_arith_mean_rpowproof · cited by 2