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 |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510600568766464 |
|---|---|
| author | Samoilenko, M. A. Самойленко, М. О. |
| author_facet | Samoilenko, M. A. Самойленко, М. О. |
| author_sort | Samoilenko, M. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:29:37Z |
| description | 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. |
| first_indexed | 2026-03-24T02:59:35Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4471 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:59:35Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/04/4ae29e67fcddb96c257b91f5d0856204.pdf |
| spelling | umjimathkievua-article-44712020-03-18T20:29:37Z Trigonometric series with uniformly distributed coefficients Тригонометричні ряди з рівномірно розподіленими коефіцієнтами Samoilenko, M. A. Самойленко, М. О. 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. Доведено умову Гельдера для сум рядів, утворених заміною випадкових величин у розкладі Фур'є вінерового процесу рівномірно розподіленими послідовностями. Institute of Mathematics, NAS of Ukraine 2000-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4471 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 6 (2000); 766–772 Український математичний журнал; Том 52 № 6 (2000); 766–772 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4471/5646 https://umj.imath.kiev.ua/index.php/umj/article/view/4471/5647 Copyright (c) 2000 Samoilenko M. A. |
| spellingShingle | Samoilenko, M. A. Самойленко, М. О. Trigonometric series with uniformly distributed coefficients |
| title | Trigonometric series with uniformly distributed coefficients |
| title_alt | Тригонометричні ряди з рівномірно розподіленими коефіцієнтами |
| title_full | Trigonometric series with uniformly distributed coefficients |
| title_fullStr | Trigonometric series with uniformly distributed coefficients |
| title_full_unstemmed | Trigonometric series with uniformly distributed coefficients |
| title_short | Trigonometric series with uniformly distributed coefficients |
| title_sort | trigonometric series with uniformly distributed coefficients |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4471 |
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