Lagrange Interpolating Polynomials

1 min read Last updated Mon Jun 01 2026 03:58:53 GMT+0000 (Coordinated Universal Time)

A rearranged version of Newton’s Divided Difference Interpolating Polynomial.

L_{n,k}(x) = \prod_{i=0,i\neq k}^{n} \frac{x - x_i}{x_k - x_i}

$n$ -th Lagrange interpolating polynomial is:

P_n(x)= \sum_{k=0}^n L_{n,k}(x)f(x_k)

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