# Weierstrass approximation theorem

- the theorem that for any continuous function on a closed interval, there is a polynomial such that the difference in values of the function and the polynomial at each point in the interval is less in absolute value than some positive number.

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## Origin of Weierstrass approximation theorem^{}

named after K. T. Weierstrass

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018