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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 a

The absolute error of the trapezoidal rule does not change when the endpoints are swapped.

Defined in
Mathlib.MeasureTheory.Integral.IntervalIntegral.TrapezoidalRule
Cited by
1 results in Mathlib
Foundations
Depth 252 from the axioms · uses propext, Classical.choice, Quot.sound

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