Spectacularly large coefficients in Müntz's theorem
Müntz’s theorem asserts, for example, that the linear span of the even powers 1,x2,x4,… is dense in C([0,1]). We show that the associated expansions are so inefficient as to have no conceivable relevance to any actual computation. For example, approximating f(x)=x to accuracy ε=10−6 in this basis...
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| Formato: | Journal article |
| Idioma: | English |
| Publicado em: |
Springer Nature
2023
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