Definition:Approximation Theory
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Definition
Approximation theory is a branch of numerical analysis and applied mathematics concerned with the approximation of a function over an interval by a simpler function (usually polynomial).
Motivation
The broad aim of approximation theory is for approximation errors to be as small as possible over the interval $\openint a b$ of interest.
Also see
- Results about approximation theory can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): approximation theory
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): approximation theory