Chebyshev approximation

Chebyshev approximation involves finding a function that closely matches a target function across a specific interval by minimizing the maximum error at any point. Unlike methods that reduce overall average error, this approach ensures the worst deviation (the maximum error) is as small as possible. Imagine fitting a curve that stays as close as possible to the original, never straying too far at any point. This technique is especially useful in numerical analysis and engineering for creating efficient, accurate models that maintain consistent precision across the entire range.