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Approximation Theory

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8.2 Orthogonal Polynomials and Least Squares Approximation

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The general least squares approxiamtion problem is to find a generalized polynomial \(P(x)\) ,such that \(E=(P-y,P-y)=||P-y||^2\) is minimized.

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  • To accelerate the calculation process we want to find a set of orthogonal polynomials.
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8.3 Chebychev Polynomials and Economization of Power Series