# Interpolation

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Related to Interpolation error: interpolated

## Interpolation

The process of inserting additional words in a complete document or instrument in such manner as to alter its intended meaning; the addition of words to a complete document or instrument.

Interpolation is synonymous with interlineation.

See: expletive, insertion, interference, intervention
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Periodic Fringe Interpolation Errors and Bull's-Eye Patterns
The interpolation error in this is small because only 1D spatial variation is considered.
Nevertheless, weighted polynomial interpolation at approximate Fekete points shows small Lebesgue constants, close to those of nonweighted polynomial interpolation (growth like O(logn)), and the best interpolation errors also for small [epsilon].
The Interleaved Hierarchical INTerpolation (IHINT) [6] and the New Interleaved Hierarchical INTerpolation (NIHINT) [7] methods were also developed as improvements of HINT to reduce the entropy of interpolation errors further.
It follows from scaling, a standard interpolation error estimate and the trace theorem that
15), we can obtain immediately the following lemma on interpolation errors for [[product].
For each generated interpolation problem we have, from the numerically obtained parametrization of solutions of minimal degree, randomly chosen 500 solutions and determined the interpolation error for each solution, storing the minimal, maximal and mean interpolation error in a quadruple of the form: (n, maximal error, minimal error, mean error).
Additionally, the maximum interpolation error is an interesting quantity, since this is the real error resulting during the interpolation.
1) with both the exact finite element error and interpolation error measured in the norms inherited by the problem.
is the interpolation error for the function g(lambda]) = [lambda].

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