$k$-Snakes in finite-order interpolational classes of functions
$k$-snakes are a generalization of the polynomials with the least deviation from zero underk-constraints. We prove the existence and uniqueness of $k$-snakes in finite-order interpolational classes and their continuous differentiability with respect to a parameter.
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| Date: | 1993 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5805 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512027360886784 |
|---|---|
| author | Ivashchuk, Ya. G. Иващук, Я. Г. Иващук, Я. Г. |
| author_facet | Ivashchuk, Ya. G. Иващук, Я. Г. Иващук, Я. Г. |
| author_sort | Ivashchuk, Ya. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:18:17Z |
| description | $k$-snakes are a generalization of the polynomials with the least deviation from zero underk-constraints. We prove the existence and uniqueness of $k$-snakes in finite-order interpolational classes and their continuous differentiability with respect to a parameter. |
| first_indexed | 2026-03-24T03:22:15Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5805 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:22:15Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f7/d8f1f26a9893454a5bd5ce03fdd36df7.pdf |
| spelling | umjimathkievua-article-58052020-03-19T09:18:17Z $k$-Snakes in finite-order interpolational classes of functions $k$-вужі в інтерполяційних класах функцій скінченного порядку Ivashchuk, Ya. G. Иващук, Я. Г. Иващук, Я. Г. $k$-snakes are a generalization of the polynomials with the least deviation from zero underk-constraints. We prove the existence and uniqueness of $k$-snakes in finite-order interpolational classes and their continuous differentiability with respect to a parameter. $k$-ужи являются обобщением полиномов, наименее уклоняющихся or нуля при наличии к связей. Доказано существование и единственность $k$-ужей в интерполяционных классах конечного порядка и их непрерывная дифференцируемость по параметру. Institute of Mathematics, NAS of Ukraine 1993-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5805 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 2 (1993); 243-250 Український математичний журнал; Том 45 № 2 (1993); 243-250 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5805/8293 https://umj.imath.kiev.ua/index.php/umj/article/view/5805/8294 Copyright (c) 1993 Ivashchuk Ya. G. |
| spellingShingle | Ivashchuk, Ya. G. Иващук, Я. Г. Иващук, Я. Г. $k$-Snakes in finite-order interpolational classes of functions |
| title | $k$-Snakes in finite-order interpolational classes of functions |
| title_alt | $k$-вужі в інтерполяційних класах функцій скінченного порядку |
| title_full | $k$-Snakes in finite-order interpolational classes of functions |
| title_fullStr | $k$-Snakes in finite-order interpolational classes of functions |
| title_full_unstemmed | $k$-Snakes in finite-order interpolational classes of functions |
| title_short | $k$-Snakes in finite-order interpolational classes of functions |
| title_sort | $k$-snakes in finite-order interpolational classes of functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5805 |
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