A short proof of Müntz's theorem (Q791064)
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scientific article; zbMATH DE number 3849773
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A short proof of Müntz's theorem |
scientific article; zbMATH DE number 3849773 |
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A short proof of Müntz's theorem (English)
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1983
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A completely elementary and very elegant proof is presented for Müntz's Theorem, which asserts that the finite linear combinations of \(\{1,x^{\lambda_ 1},x^{\lambda_ 2},...\}\) are dense in C[0,1] if and only if \(\sum_{k}1/\lambda_ k=\infty\).
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Müntz's Theorem
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