Question: The least squares approximation of a function f(x) on an interval α ¤ x ¤ b by a function where y 0 (x), · ·

The least squares approximation of a function f(x) on an interval α ‰¤ x ‰¤ b by a function

Fm(x) = aoyo(x) + a1y1(x) + + amym(x)

where y0(x), · · ·, ym(x) are given functions, requires the determination of the coefficients α0,· · ·, αm such that

|(9) [fx) – Fm(x)]² dx Fm(x) = aoyo(x) + a1y1(x) + + amym(x) |(9) [fx) Fm(x)] dx



Fm(x) = aoyo(x) + a1y1(x) + + amym(x) |(9) [fx) Fm(x)] dx

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