Theorems · Theorem · numerical analysis
trapezoidal_error_symm
∀ (f : ℝ → ℝ) {N : ℕ}, 0 < N → ∀ (a b : ℝ), trapezoidal_error f N a b = -trapezoidal_error f N b aThe absolute error of the trapezoidal rule does not change when the endpoints are swapped.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 252 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- MeasureTheory.MeasureSpace.volumeproof · cited by 1,323
- intervalIntegralproof · cited by 546
- neg_subproof · cited by 272
- intervalIntegral.integral_symmproof · cited by 35
- neg_sub_negproof · cited by 13
- trapezoidal_integralproof · cited by 7
- trapezoidal_errorstatement · cited by 5
- trapezoidal_integral_symmproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- trapezoidal_error_leproof · cited by 1