“Müntz's Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Müntz's Theorem

释义

Müntz's Theorem

Müntz's theorem is a generalization of the Weierstraß Approximation Theorem, which states that any continuous function on a closed and bounded interval can be uniformly approximated byPolynomials involving constants and any Infinite Sequence of Powerswhose Reciprocals diverge.

In technical language, Müntz's theorem states that the Müntz Space is dense in Iff

See also Weierstraß Approximation Theorem

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