Analysis of the Accuracy of Interpolation of Entire Operators in a Hilbert Space in the Case of Perturbed Nodal Values
In a Hilbert space with Gaussian measure, we obtain an estimate for the accuracy of interpolation of an entire operator in the case where its values are perturbed at nodes and determine the value of the degree of an interpolation polynomial the exceeding of which does not improve the estimate of the...
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| Datum: | 2003 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2003
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3970 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510100515454976 |
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| author | Kashpur, O. F. Khlobystov, V. V. Кашпур, О. Ф. Хлобистов, В. В. |
| author_facet | Kashpur, O. F. Khlobystov, V. V. Кашпур, О. Ф. Хлобистов, В. В. |
| author_sort | Kashpur, O. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:17:28Z |
| description | In a Hilbert space with Gaussian measure, we obtain an estimate for the accuracy of interpolation of an entire operator in the case where its values are perturbed at nodes and determine the value of the degree of an interpolation polynomial the exceeding of which does not improve the estimate of the accuracy of interpolation. |
| first_indexed | 2026-03-24T02:51:38Z |
| format | Article |
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| id | umjimathkievua-article-3970 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:51:38Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/c1/793fbc8c3e167e8c0d914be490afbbc1.pdf |
| spelling | umjimathkievua-article-39702020-03-18T20:17:28Z Analysis of the Accuracy of Interpolation of Entire Operators in a Hilbert Space in the Case of Perturbed Nodal Values Анализ точности интерполирования целых операторов в гильбертовом пространстве при возмущенных узловых значениях Kashpur, O. F. Khlobystov, V. V. Кашпур, О. Ф. Хлобистов, В. В. In a Hilbert space with Gaussian measure, we obtain an estimate for the accuracy of interpolation of an entire operator in the case where its values are perturbed at nodes and determine the value of the degree of an interpolation polynomial the exceeding of which does not improve the estimate of the accuracy of interpolation. У гільбертовому просторі з гауссовою мірою одержано оцінку точності інтерполяції цілого оператора у випадку збурених його значень у вузлах та знайдено значення степеня інтерполяційного полінома, перевищення якого не покращує оцінку точності інтерполювання. Institute of Mathematics, NAS of Ukraine 2003-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3970 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 7 (2003); 953-960 Український математичний журнал; Том 55 № 7 (2003); 953-960 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3970/4652 https://umj.imath.kiev.ua/index.php/umj/article/view/3970/4653 Copyright (c) 2003 Kashpur O. F.; Khlobystov V. V. |
| spellingShingle | Kashpur, O. F. Khlobystov, V. V. Кашпур, О. Ф. Хлобистов, В. В. Analysis of the Accuracy of Interpolation of Entire Operators in a Hilbert Space in the Case of Perturbed Nodal Values |
| title | Analysis of the Accuracy of Interpolation of Entire Operators in a Hilbert Space in the Case of Perturbed Nodal Values |
| title_alt | Анализ точности интерполирования целых операторов в гильбертовом пространстве при возмущенных узловых значениях |
| title_full | Analysis of the Accuracy of Interpolation of Entire Operators in a Hilbert Space in the Case of Perturbed Nodal Values |
| title_fullStr | Analysis of the Accuracy of Interpolation of Entire Operators in a Hilbert Space in the Case of Perturbed Nodal Values |
| title_full_unstemmed | Analysis of the Accuracy of Interpolation of Entire Operators in a Hilbert Space in the Case of Perturbed Nodal Values |
| title_short | Analysis of the Accuracy of Interpolation of Entire Operators in a Hilbert Space in the Case of Perturbed Nodal Values |
| title_sort | analysis of the accuracy of interpolation of entire operators in a hilbert space in the case of perturbed nodal values |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3970 |
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