Best polynomial approximation
Function approximation

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AF1480 V1 Article

Best polynomial approximation


Function approximation

Author : Jean-Paul BERRUT

Publication date: October 10, 2013 | Lire en français

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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 n that is closest to it. It can be shown that, for any n , there exists a single polynomial pn*Πn...

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