On optimization of weight quadrature formulas
We obtain asymptotically optimal quadrature formulas on the classH ω [-1, 1] for an arbitrary continuous weight function which is positive on [-1, 1] almost everywhere and for a wide class of moduli of continuity ω(t).
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| Date: | 1995 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1995
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5498 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511727385313280 |
|---|---|
| author | Babenko, V. F. Бабенко, В. Ф. Бабенко, В. Ф. |
| author_facet | Babenko, V. F. Бабенко, В. Ф. Бабенко, В. Ф. |
| author_sort | Babenko, V. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:12:10Z |
| description | We obtain asymptotically optimal quadrature formulas on the classH ω [-1, 1] for an arbitrary continuous weight function which is positive on [-1, 1] almost everywhere and for a wide class of moduli of continuity ω(t). |
| first_indexed | 2026-03-24T03:17:29Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5498 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:17:29Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/79/a7d7af173322d82c9276b05f981c1679.pdf |
| spelling | umjimathkievua-article-54982020-03-19T09:12:10Z On optimization of weight quadrature formulas Об оптимизации весовых квадратурных формул Babenko, V. F. Бабенко, В. Ф. Бабенко, В. Ф. We obtain asymptotically optimal quadrature formulas on the classH ω [-1, 1] for an arbitrary continuous weight function which is positive on [-1, 1] almost everywhere and for a wide class of moduli of continuity ω(t). Для довільної неперервної вагової функції, майже всюди додатної на [-1, 1 ], та широкого класу модулів неперервності $ ω(t)$ знайдені асимптотично оптимальні квадратурні формули на класі $H^{ω}[-1, 1 ]$. Institute of Mathematics, NAS of Ukraine 1995-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5498 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 8 (1995); 1011–1021 Український математичний журнал; Том 47 № 8 (1995); 1011–1021 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5498/7685 https://umj.imath.kiev.ua/index.php/umj/article/view/5498/7686 Copyright (c) 1995 Babenko V. F. |
| spellingShingle | Babenko, V. F. Бабенко, В. Ф. Бабенко, В. Ф. On optimization of weight quadrature formulas |
| title | On optimization of weight quadrature formulas |
| title_alt | Об оптимизации весовых квадратурных формул |
| title_full | On optimization of weight quadrature formulas |
| title_fullStr | On optimization of weight quadrature formulas |
| title_full_unstemmed | On optimization of weight quadrature formulas |
| title_short | On optimization of weight quadrature formulas |
| title_sort | on optimization of weight quadrature formulas |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5498 |
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