Least-squares function approximation

In mathematics, least squares function approximation applies the principle of least squares to function approximation, by means of a weighted sum of other functions. The best approximation can be defined as that which minimizes the difference between the original function and the approximation; for a least-squares approach the quality of the approximation is measured in terms of the squared differences between the two.

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enIn mathematics, least squares function approximation applies the principle of least squares to function approximation, by means of a weighted sum of other functions. The best approximation can be defined as that which minimizes the difference between the original function and the approximation; for a least-squares approach the quality of the approximation is measured in terms of the squared differences between the two.
Has abstract
enIn mathematics, least squares function approximation applies the principle of least squares to function approximation, by means of a weighted sum of other functions. The best approximation can be defined as that which minimizes the difference between the original function and the approximation; for a least-squares approach the quality of the approximation is measured in terms of the squared differences between the two.
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Category:Approximation theory
Category:Least squares
Complex conjugate
Fejér's theorem
Fourier series
Function approximation
Function space
Generalized Fourier series
Kronecker delta
Least squares
Lebesgue measure
Mathematics
Orthogonal
Orthogonal functions
Orthonormal set
Parseval's identity
Pythagorean theorem
Real number
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4q6F7
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Least-squares function approximation
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Fourier series
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Category:Approximation theory
Category:Least squares
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