On some inequalities for polynomials
We prove the equivalence between analogs of the Paley and Nikol’skii inequalities for any orthonormal system of functions and for almost periodic polynomials with arbitrary spectrum.
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| Date: | 1998 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1998
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4848 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511024083369984 |
|---|---|
| author | Timan, M. F. Тиман, М. Ф. Тиман, М. Ф. |
| author_facet | Timan, M. F. Тиман, М. Ф. Тиман, М. Ф. |
| author_sort | Timan, M. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:15:33Z |
| description | We prove the equivalence between analogs of the Paley and Nikol’skii inequalities for any orthonormal system of functions and for almost periodic polynomials with arbitrary spectrum. |
| first_indexed | 2026-03-24T03:06:18Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4848 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:06:18Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/7a/467934c7ce93fb40b3de7e7b06e0c37a.pdf |
| spelling | umjimathkievua-article-48482020-03-18T21:15:33Z On some inequalities for polynomials О некоторых неравенствах для полиномов Timan, M. F. Тиман, М. Ф. Тиман, М. Ф. We prove the equivalence between analogs of the Paley and Nikol’skii inequalities for any orthonormal system of functions and for almost periodic polynomials with arbitrary spectrum. Доведено твердження про еквівалентність аналогів нерівностей Пелі та С. М. Нікольського для будь-якої оргонормованої системи функцій та для майже періодичних поліномів з довільним спектром. Institute of Mathematics, NAS of Ukraine 1998-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4848 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 9 (1998); 1289–1292 Український математичний журнал; Том 50 № 9 (1998); 1289–1292 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4848/6395 https://umj.imath.kiev.ua/index.php/umj/article/view/4848/6396 Copyright (c) 1998 Timan M. F. |
| spellingShingle | Timan, M. F. Тиман, М. Ф. Тиман, М. Ф. On some inequalities for polynomials |
| title | On some inequalities for polynomials |
| title_alt | О некоторых неравенствах для полиномов |
| title_full | On some inequalities for polynomials |
| title_fullStr | On some inequalities for polynomials |
| title_full_unstemmed | On some inequalities for polynomials |
| title_short | On some inequalities for polynomials |
| title_sort | on some inequalities for polynomials |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4848 |
| work_keys_str_mv | AT timanmf onsomeinequalitiesforpolynomials AT timanmf onsomeinequalitiesforpolynomials AT timanmf onsomeinequalitiesforpolynomials AT timanmf onekotoryhneravenstvahdlâpolinomov AT timanmf onekotoryhneravenstvahdlâpolinomov AT timanmf onekotoryhneravenstvahdlâpolinomov |