“Weierstraß Approximation Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Weierstraß Approximation Theorem

释义

Weierstraß Approximation Theorem

If is a continuous real-valued function on and if any is given, then there exists aPolynomial on such that

for all

. In words, any continuous function on a closed and bounded interval can beuniformly approximated on that interval by Polynomials to any degree of accuracy.

See also Müntz's Theorem

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