Story of rational approximation for the class of Stieltjes functions: From Stieltjes to recent optimal estimations of errors
We present the history of inequalities for Padé approximant errors in the Stieltjes case. Inequalities optimal in order are obtained for these approximants by using results of J. Vinuesa and A. P. Magnus.
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| Date: | 1994 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5686 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511912210464768 |
|---|---|
| author | Gilewicz, J. Гілевич, Я. Я. |
| author_facet | Gilewicz, J. Гілевич, Я. Я. |
| author_sort | Gilewicz, J. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:15:43Z |
| description | We present the history of inequalities for Padé approximant errors in the Stieltjes case. Inequalities optimal in order are obtained for these approximants by using results of J. Vinuesa and A. P. Magnus. |
| first_indexed | 2026-03-24T03:20:25Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5686 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:20:25Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/63/2f1a86ef06b4757bafed444fd7279563.pdf |
| spelling | umjimathkievua-article-56862020-03-19T09:15:43Z Story of rational approximation for the class of Stieltjes functions: From Stieltjes to recent optimal estimations of errors Про раціональні апроксимації для класів стілтьєсівських функцій: від Стілтьєса до нових оптимальних оцінок похибок Gilewicz, J. Гілевич, Я. Я. We present the history of inequalities for Padé approximant errors in the Stieltjes case. Inequalities optimal in order are obtained for these approximants by using results of J. Vinuesa and A. P. Magnus. Наведено історію встановлення нерівностей для похибок апроксимацій Паде у стілтьєсівському випадку. Доведено оптимальні за порядком нерівності для цих апроксимацій з використанням результатів Вінуеса та Магнуса. Institute of Mathematics, NAS of Ukraine 1994-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5686 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 7 (1994); 941–943 Український математичний журнал; Том 46 № 7 (1994); 941–943 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/5686/8057 https://umj.imath.kiev.ua/index.php/umj/article/view/5686/8058 Copyright (c) 1994 Gilewicz J. |
| spellingShingle | Gilewicz, J. Гілевич, Я. Я. Story of rational approximation for the class of Stieltjes functions: From Stieltjes to recent optimal estimations of errors |
| title | Story of rational approximation for the class of Stieltjes functions: From Stieltjes to recent optimal estimations of errors |
| title_alt | Про раціональні апроксимації для класів стілтьєсівських функцій: від Стілтьєса до нових оптимальних оцінок похибок |
| title_full | Story of rational approximation for the class of Stieltjes functions: From Stieltjes to recent optimal estimations of errors |
| title_fullStr | Story of rational approximation for the class of Stieltjes functions: From Stieltjes to recent optimal estimations of errors |
| title_full_unstemmed | Story of rational approximation for the class of Stieltjes functions: From Stieltjes to recent optimal estimations of errors |
| title_short | Story of rational approximation for the class of Stieltjes functions: From Stieltjes to recent optimal estimations of errors |
| title_sort | story of rational approximation for the class of stieltjes functions: from stieltjes to recent optimal estimations of errors |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5686 |
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