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Bernstein-Szegö Polynomials


The orthogonal polynomials on the interval [-1,1] associated with the weighting functions

w(x)=(1-x^2)^(-1/2)
(1)
w(x)=(1-x^2)^(1/2)
(2)
w(x)=sqrt((1-x)/(1+x)),
(3)

also called Bernstein polynomials.


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References

Szegö, G. Orthogonal Polynomials, 4th ed. Providence, RI: Amer. Math. Soc., pp. 31-33, 1975.

Referenced on Wolfram|Alpha

Bernstein-Szegö Polynomials

Cite this as:

Weisstein, Eric W. "Bernstein-Szegö Polynomials." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Bernstein-SzegoePolynomials.html

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