On the existence of interpolating $SK$-splines
We establish new sufficient conditions for the existence and uniqueness of generalized interpolatingSK-splines with uniformly distributed interpolation nodes. Our results include all known important assertions obtained in this field as special cases.
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| Date: | 1994 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5593 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511824743497728 |
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| author | Serdyuk, A. S. Stepanets, O. I. Сердюк, А. С. Степанец, А. И. Сердюк, А. С. Степанец, А. И. |
| author_facet | Serdyuk, A. S. Stepanets, O. I. Сердюк, А. С. Степанец, А. И. Сердюк, А. С. Степанец, А. И. |
| author_sort | Serdyuk, A. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:14:13Z |
| description | We establish new sufficient conditions for the existence and uniqueness of generalized interpolatingSK-splines with uniformly distributed interpolation nodes. Our results include all known important assertions obtained in this field as special cases. |
| first_indexed | 2026-03-24T03:19:02Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5593 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:19:02Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f4/04d251090fe2ce8fb8ae6e4ce9eadcf4.pdf |
| spelling | umjimathkievua-article-55932020-03-19T09:14:13Z On the existence of interpolating $SK$-splines О существовании интерполяционных $SK$-сплайнов Serdyuk, A. S. Stepanets, O. I. Сердюк, А. С. Степанец, А. И. Сердюк, А. С. Степанец, А. И. We establish new sufficient conditions for the existence and uniqueness of generalized interpolatingSK-splines with uniformly distributed interpolation nodes. Our results include all known important assertions obtained in this field as special cases. Встановлюються нові достатні умови існування та єдиності узагальнених інтерполяційних $SK$-сплайнів з рівномірним розподілом вузлів інтерполяції. Результати роботи охоплюють важливі відомі на цей час твердження в цьому напрямку Institute of Mathematics, NAS of Ukraine 1994-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5593 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 11 (1994); 1546–1553 Український математичний журнал; Том 46 № 11 (1994); 1546–1553 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5593/7871 https://umj.imath.kiev.ua/index.php/umj/article/view/5593/7872 Copyright (c) 1994 Serdyuk A. S.; Stepanets O. I. |
| spellingShingle | Serdyuk, A. S. Stepanets, O. I. Сердюк, А. С. Степанец, А. И. Сердюк, А. С. Степанец, А. И. On the existence of interpolating $SK$-splines |
| title | On the existence of interpolating $SK$-splines |
| title_alt | О существовании интерполяционных $SK$-сплайнов |
| title_full | On the existence of interpolating $SK$-splines |
| title_fullStr | On the existence of interpolating $SK$-splines |
| title_full_unstemmed | On the existence of interpolating $SK$-splines |
| title_short | On the existence of interpolating $SK$-splines |
| title_sort | on the existence of interpolating $sk$-splines |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5593 |
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