Lagrange Error Estimator

⚡ Lagrange Error Estimator advanced

Estimate interpolation error using the Lagrange remainder formula: \( f(x) - P_n(x) = \frac{f^{(n+1)}(\xi)}{(n+1)!} \prod_{i=0}^{n} (x - x_i) \)

📌 Data points

🎯 Evaluate at

x =

Max derivative bound (optional):

|f⁽ⁿ⁺¹⁾(ξ)| ≤

If unknown, we estimate using the (n+1)-th divided difference. Leave as is for automatic.

📊 Error estimation

Click Compute error to see results.

⚙️ Dynamic Lagrange remainder estimation · Uses exact product term · Derivative bound optional