Approximation of periodic functions by interpolation polynomials in $L_1$
Asymptotically precise estimates are obtained for the deviation, in the $L_1$-norm, of interpolation polynomials with equally-spaced nodes from certain classes of functions.
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| Дата: | 1990 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1990
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/8836 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513320989097984 |
|---|---|
| author | Motorny, V. P. Моторный, В. П. |
| author_facet | Motorny, V. P. Моторный, В. П. |
| author_sort | Motorny, V. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-11-14T10:10:56Z |
| description | Asymptotically precise estimates are obtained for the deviation, in the $L_1$-norm, of interpolation polynomials with equally-spaced nodes from certain classes of functions. |
| first_indexed | 2026-03-24T03:42:49Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8836 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:42:49Z |
| publishDate | 1990 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6d/915fa3ed42357a3facc1831f4001bd6d.pdf |
| spelling | umjimathkievua-article-88362024-11-14T10:10:56Z Approximation of periodic functions by interpolation polynomials in $L_1$ Приближение периодических функций интерполяционными многочленами в $L_1$ Motorny, V. P. Моторный, В. П. Asymptotically precise estimates are obtained for the deviation, in the $L_1$-norm, of interpolation polynomials with equally-spaced nodes from certain classes of functions. Получены асимптотически точные оценки уклонений интерполяционных многочленов по равноотстоящим узлам на некоторых классах функции в $L_1$-норме. Одержані асимптотично точні оцінки відхилень інтерполяційних многочленів з рівновіддаленими вузлами на деяких класах функцій в $L_1$-нормі. Institute of Mathematics, NAS of Ukraine 1990-06-19 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8836 Ukrains’kyi Matematychnyi Zhurnal; Vol. 42 No. 6 (1990); 781-786 Український математичний журнал; Том 42 № 6 (1990); 781-786 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8836/10257 Copyright (c) 1990 V. P. Motorny |
| spellingShingle | Motorny, V. P. Моторный, В. П. Approximation of periodic functions by interpolation polynomials in $L_1$ |
| title | Approximation of periodic functions by interpolation polynomials in $L_1$ |
| title_alt | Приближение периодических функций интерполяционными многочленами в $L_1$ |
| title_full | Approximation of periodic functions by interpolation polynomials in $L_1$ |
| title_fullStr | Approximation of periodic functions by interpolation polynomials in $L_1$ |
| title_full_unstemmed | Approximation of periodic functions by interpolation polynomials in $L_1$ |
| title_short | Approximation of periodic functions by interpolation polynomials in $L_1$ |
| title_sort | approximation of periodic functions by interpolation polynomials in $l_1$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8836 |
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