On the guaranteed rate of decrease of Fourier coefficients of continuous functions (Q1311487)
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scientific article; zbMATH DE number 486783
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the guaranteed rate of decrease of Fourier coefficients of continuous functions |
scientific article; zbMATH DE number 486783 |
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On the guaranteed rate of decrease of Fourier coefficients of continuous functions (English)
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6 April 1994
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The main result is the following: There exists a complete orthonormal system on the interval [0,1] relative to which the Fourier coefficients for functions from \(C\) and \(L^p\), \(p > 2\), have, on the whole, higher order of smallness than the Fourier-Haar coefficients for the same classes of functions.
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complete orthonormal system
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Fourier coefficients
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Fourier-Haar coefficients
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