Trigonometric series with uniformly distributed coefficients
We prove the Hölder condition for the sums of series obtained by the substitution of uniformly distributed sequences for random variables in the Fourier expansion of a wiener process.
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| Date: | 2000 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2000
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4471 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | We prove the Hölder condition for the sums of series obtained by the substitution of uniformly distributed sequences for random variables in the Fourier expansion of a wiener process. |
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