On cubic formulas related to the mixed Hermite splines
A cubic formula containing partial integrals is considered on a class of functions of two variables. It is shown that the integral of a mixed Hermite spline gives the best cubic formula for the given class. The coincidence of cubic formulas, which are exact for odd and even mixed Hermite splines, is...
Збережено в:
| Дата: | 1993 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1993
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5845 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512065930657792 |
|---|---|
| author | Myrzanov, Zh. E. Мырзанов, Ж. Е. Мырзанов, Ж. Е. |
| author_facet | Myrzanov, Zh. E. Мырзанов, Ж. Е. Мырзанов, Ж. Е. |
| author_sort | Myrzanov, Zh. E. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:18:55Z |
| description | A cubic formula containing partial integrals is considered on a class of functions of two variables. It is shown that the integral of a mixed Hermite spline gives the best cubic formula for the given class. The coincidence of cubic formulas, which are exact for odd and even mixed Hermite splines, is established. |
| first_indexed | 2026-03-24T03:22:52Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5845 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:22:52Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6a/71d8cf1778deec359fc27c32cdf1a36a.pdf |
| spelling | umjimathkievua-article-58452020-03-19T09:18:55Z On cubic formulas related to the mixed Hermite splines О кубатурных формулах, связанных со смешанными эрмитовыми сплайнами Myrzanov, Zh. E. Мырзанов, Ж. Е. Мырзанов, Ж. Е. A cubic formula containing partial integrals is considered on a class of functions of two variables. It is shown that the integral of a mixed Hermite spline gives the best cubic formula for the given class. The coincidence of cubic formulas, which are exact for odd and even mixed Hermite splines, is established. Установлены точные формулы для приведенных модулей семейств кривых, отделяющих в произвольных односвязных областях некоторые связные подмножества. В качестве следствий получены новые явные выражения для гармонической меры связного граничного подмножества. Institute of Mathematics, NAS of Ukraine 1993-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5845 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 4 (1993); 579–581 Український математичний журнал; Том 45 № 4 (1993); 579–581 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5845/8373 https://umj.imath.kiev.ua/index.php/umj/article/view/5845/8374 Copyright (c) 1993 Myrzanov Zh. E. |
| spellingShingle | Myrzanov, Zh. E. Мырзанов, Ж. Е. Мырзанов, Ж. Е. On cubic formulas related to the mixed Hermite splines |
| title | On cubic formulas related to the mixed Hermite splines |
| title_alt | О кубатурных формулах, связанных со смешанными эрмитовыми сплайнами |
| title_full | On cubic formulas related to the mixed Hermite splines |
| title_fullStr | On cubic formulas related to the mixed Hermite splines |
| title_full_unstemmed | On cubic formulas related to the mixed Hermite splines |
| title_short | On cubic formulas related to the mixed Hermite splines |
| title_sort | on cubic formulas related to the mixed hermite splines |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5845 |
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