Accuracy-optimal algorithm for solution of one problem of numerical integration
We study optimally exact algorithms for calculation of integrals of certain quickly oscillating functions. We construct an optimally exact passive algorithm for a class of functions with a known number of extrema.
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| Date: | 1991 |
|---|---|
| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1991
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9305 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513486643134464 |
|---|---|
| author | Zadiraka , V. K. Abatov , N. T. Задирака , В. К. Абатов , Н. Т. |
| author_facet | Zadiraka , V. K. Abatov , N. T. Задирака , В. К. Абатов , Н. Т. |
| author_sort | Zadiraka , V. K. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-06-19T08:20:09Z |
| description | We study optimally exact algorithms for calculation of integrals of certain quickly oscillating functions. We construct an optimally exact passive algorithm for a class of functions with a known number of extrema. |
| first_indexed | 2026-03-24T03:45:27Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-9305 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:45:27Z |
| publishDate | 1991 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/49/64e523df08e7e6ebc867ae8847989e49 |
| spelling | umjimathkievua-article-93052025-06-19T08:20:09Z Accuracy-optimal algorithm for solution of one problem of numerical integration Оптимальный по точности алгоритм решения одной задачи численного интегрирования Zadiraka , V. K. Abatov , N. T. Задирака , В. К. Абатов , Н. Т. We study optimally exact algorithms for calculation of integrals of certain quickly oscillating functions. We construct an optimally exact passive algorithm for a class of functions with a known number of extrema. Рассматриваются оптимальные по точности алгоритмы вычисления интегралов от некоторых быстроосциллирующих функций. Построен оптимальный по точности пассивный алгоритм на классе функций, имеющих известное количество экстремумов. Розглядаються оптимальні за точністю алгоритми обчислення інтегралів від деяких швидкоосцилуючих функцій. Побудовано оптимальний за точністю пасивний алгоритм на класі функцій, що мають відому кількість екстремумів. Institute of Mathematics, NAS of Ukraine 1991-01-18 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/9305 Ukrains’kyi Matematychnyi Zhurnal; Vol. 43 No. 1 (1991); 53-59 Український математичний журнал; Том 43 № 1 (1991); 53-59 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/9305/10480 Copyright (c) 1991 В. К. Задирака , Н. Т. Абатов |
| spellingShingle | Zadiraka , V. K. Abatov , N. T. Задирака , В. К. Абатов , Н. Т. Accuracy-optimal algorithm for solution of one problem of numerical integration |
| title | Accuracy-optimal algorithm for solution of one problem of numerical integration |
| title_alt | Оптимальный по точности алгоритм решения одной задачи численного интегрирования |
| title_full | Accuracy-optimal algorithm for solution of one problem of numerical integration |
| title_fullStr | Accuracy-optimal algorithm for solution of one problem of numerical integration |
| title_full_unstemmed | Accuracy-optimal algorithm for solution of one problem of numerical integration |
| title_short | Accuracy-optimal algorithm for solution of one problem of numerical integration |
| title_sort | accuracy-optimal algorithm for solution of one problem of numerical integration |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9305 |
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