4. Best polynomial approximation
Nevertheless, polynomials remain the simplest approximations for realizing the "fundamental idea". A natural approach is to give ourselves only degree n and try to find, for the function f ∊ C [a, b] under study, the polynomial of degree that is closest to it. It can be shown that, for any , there exists a single polynomial such that
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Best polynomial approximation
Interpolation between Chebyshev points
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