Definition:Gauss Interpolation Formula

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Definition

Let $f$ be a real function.

Let $x_0, x_1, x_2, \ldots, x_n \in \R$ be equally spaced:

$\forall i \in \set {1, 2, \ldots, n}: x_i - x_{i - 1} = d$

where $d$ is constant.

Let $y_0, y_1, y_2, \ldots, y_n$ be values of $x_0, x_1, x_2, \ldots, x_n$ under $f$:

$\forall i \in \set {0, 1, 2, \ldots, n}: y_i = \map f {x_i}$



This article is incomplete.
In particular: Nelson gives that it exists and is useful for interpolation between $x_1$ and $x_{n - 1}$ but does not give details of exactly what it is
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Also see

  • Results about the Gauss interpolation formula can be found here.


Source of Name

This entry was named for Carl Friedrich Gauss.


Sources

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