On Optimization of “Interval” and “Pointwise” Quadrature Formulas for Classes of Monotone Functions
We consider the problem of optimization of “interval” quadrature formulas (in different statements) on the class of monotone functions defined on an interval and the problem of optimization of cubature formulas with fixed knots on classes of functions defined on a d-dimensional cube, d = 2, 3,..., a...
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| Datum: | 2001 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2001
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4305 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510435560652800 |
|---|---|
| author | Borodachov, S.V. Бородачев, С. В. Бородачев, С. В. |
| author_facet | Borodachov, S.V. Бородачев, С. В. Бородачев, С. В. |
| author_sort | Borodachov, S.V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:25:59Z |
| description | We consider the problem of optimization of “interval” quadrature formulas (in different statements) on the class of monotone functions defined on an interval and the problem of optimization of cubature formulas with fixed knots on classes of functions defined on a d-dimensional cube, d = 2, 3,..., and monotonically nondecreasing with respect to each variable. |
| first_indexed | 2026-03-24T02:56:57Z |
| format | Article |
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| id | umjimathkievua-article-4305 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:56:57Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/13/6fff3e0d08192f35e6696ac07dd5a613.pdf |
| spelling | umjimathkievua-article-43052020-03-18T20:25:59Z On Optimization of “Interval” and “Pointwise” Quadrature Formulas for Classes of Monotone Functions Об оптимизации „интервальных и точечных" квадратурных формул для классов монотонных функций Borodachov, S.V. Бородачев, С. В. Бородачев, С. В. We consider the problem of optimization of “interval” quadrature formulas (in different statements) on the class of monotone functions defined on an interval and the problem of optimization of cubature formulas with fixed knots on classes of functions defined on a d-dimensional cube, d = 2, 3,..., and monotonically nondecreasing with respect to each variable. Розглянуто задачу оптимізації „інтервальних" квадратурних формул (у різних постановках) на класі монотонних функцій, визначених на відрізку, а також задачу оптимізації кубатуриих формул, що мають фіксовані вузли, на класах функцій, визначених на $d$-вимірному кубі, $d = 2,З,...,$ і монотонно неспадпих відносно кожної змінної. Institute of Mathematics, NAS of Ukraine 2001-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4305 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 6 (2001); 847-956 Український математичний журнал; Том 53 № 6 (2001); 847-956 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4305/5314 https://umj.imath.kiev.ua/index.php/umj/article/view/4305/5315 Copyright (c) 2001 Borodachov S.V. |
| spellingShingle | Borodachov, S.V. Бородачев, С. В. Бородачев, С. В. On Optimization of “Interval” and “Pointwise” Quadrature Formulas for Classes of Monotone Functions |
| title | On Optimization of “Interval” and “Pointwise” Quadrature Formulas for Classes of Monotone Functions |
| title_alt | Об оптимизации „интервальных и точечных" квадратурных формул для классов монотонных функций |
| title_full | On Optimization of “Interval” and “Pointwise” Quadrature Formulas for Classes of Monotone Functions |
| title_fullStr | On Optimization of “Interval” and “Pointwise” Quadrature Formulas for Classes of Monotone Functions |
| title_full_unstemmed | On Optimization of “Interval” and “Pointwise” Quadrature Formulas for Classes of Monotone Functions |
| title_short | On Optimization of “Interval” and “Pointwise” Quadrature Formulas for Classes of Monotone Functions |
| title_sort | on optimization of “interval” and “pointwise” quadrature formulas for classes of monotone functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4305 |
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