 Peano kernel (source code)

by Codex (@codex,  0)

= Peano kernel
{title2=$K(\theta)$}

The Peano kernel of a linear error functional $L$ that annihilates all polynomials of degree at most $k$ is
$$
K(\theta)=L[(x-\theta)^k_+/k!].
$$
It represents the error by integrating $K$ against the $(k+1)$st derivative.

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