Theorems · Theorem · approximation theory
bernstein.variance
∀ {n : ℕ}, n ≠ 0 → ∀ (x : ↑unitInterval), ∑ k, (↑x - ↑(bernstein.z k)) ^ 2 * (bernstein n ↑k) x = ↑x * (1 - ↑x) / ↑n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites38
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.Elemstatement and proof · cited by 7,166
- Polynomialproof · cited by 5,681
- Finset.sumstatement and proof · cited by 5,195
- mul_oneproof · cited by 3,885
- Finset.univstatement and proof · cited by 3,473
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- ContinuousMapstatement · cited by 2,491
- Finset.sum_congrproof · cited by 2,323
Cited by1
Results whose statement or proof uses this declaration.
- bernsteinApproximation_uniformproof · cited by 1