| 释义 |
Lagrange's Interpolating Fundamental PolynomialLet  be an  th degree Polynomial with zeros at  , ...,  . Then the fundamental Polynomials are
 | (1) |
 | (2) |
 is the Kronecker Delta.Now let  , ...,  be values. Then the expansion
 | (3) |
 at  . Let be an arbitrary distribution on the interval  ,  the associated OrthogonalPolynomials, and  , ...,  the fundamental Polynomials corresponding to the set of zeros of  . Then
 | (4) |
 , 2, ..., , where  are Christoffel Numbers.
References
Szegö, G. Orthogonal Polynomials, 4th ed. Providence, RI: Amer. Math. Soc., pp. 329 and 332, 1975.
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