Weierstrass's Polynomial Theorem

A function, continuous in a finite closed interval, can be approximated with a preassigned accuracy by polynomials. A function of a real variable which is continuous and has period 2pi can be approximated by trigonometric polynomials.

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Szegö, G. Orthogonal Polynomials, 4th ed. Providence, RI: Amer. Math. Soc., p. 5, 1975.

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Weierstrass's Polynomial Theorem

Cite this as:

Weisstein, Eric W. "Weierstrass's Polynomial Theorem." From MathWorld--A Wolfram Web Resource.

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