Complete Asymptotics of the Deviation of a Class of Differentiable Functions from the Set of Their Harmonic Poisson Integrals
On a class of differentiable functions W r and the class \(\overline W ^r \) of functions conjugate to them, we obtain a complete asymptotic expansion of the upper bounds \(\mathcal{E}(\mathfrak{N},A\rho )_C \) of deviations of the harmonic Poisson integrals of the functions considered.
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| Date: | 2002 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4038 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510167603347456 |
|---|---|
| author | Zhyhallo, K. M. Kharkevych, Yu. I. Жигалло, К. М. Харкевич, Ю. І. |
| author_facet | Zhyhallo, K. M. Kharkevych, Yu. I. Жигалло, К. М. Харкевич, Ю. І. |
| author_sort | Zhyhallo, K. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:20:16Z |
| description | On a class of differentiable functions W r and the class \(\overline W ^r \) of functions conjugate to them, we obtain a complete asymptotic expansion of the upper bounds \(\mathcal{E}(\mathfrak{N},A\rho )_C \) of deviations of the harmonic Poisson integrals of the functions considered. |
| first_indexed | 2026-03-24T02:52:42Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4038 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:52:42Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/fc/17cc06a8bcf53d0edcb3e6f0c6a622fc.pdf |
| spelling | umjimathkievua-article-40382020-03-18T20:20:16Z Complete Asymptotics of the Deviation of a Class of Differentiable Functions from the Set of Their Harmonic Poisson Integrals Повна асимптотика відхилення від класу диференційовних функцій множини їх гармонійних інтегралів Пуассона Zhyhallo, K. M. Kharkevych, Yu. I. Жигалло, К. М. Харкевич, Ю. І. On a class of differentiable functions W r and the class \(\overline W ^r \) of functions conjugate to them, we obtain a complete asymptotic expansion of the upper bounds \(\mathcal{E}(\mathfrak{N},A\rho )_C \) of deviations of the harmonic Poisson integrals of the functions considered. Отримано повний асимптотичний розклад величин $\mathcal{E}(\mathfrak{N},A\rho )_C$— верхніх меж відхилень, на класі диференційовних функцій $W^r$ та класі $\overline W ^r$ спряжених до них, їх гармонійних інтегралів Пуассона. Institute of Mathematics, NAS of Ukraine 2002-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4038 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 1 (2002); 43-52 Український математичний журнал; Том 54 № 1 (2002); 43-52 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4038/4786 https://umj.imath.kiev.ua/index.php/umj/article/view/4038/4787 Copyright (c) 2002 Zhyhallo K. M.; Kharkevych Yu. I. |
| spellingShingle | Zhyhallo, K. M. Kharkevych, Yu. I. Жигалло, К. М. Харкевич, Ю. І. Complete Asymptotics of the Deviation of a Class of Differentiable Functions from the Set of Their Harmonic Poisson Integrals |
| title | Complete Asymptotics of the Deviation of a Class of Differentiable Functions from the Set of Their Harmonic Poisson Integrals |
| title_alt | Повна асимптотика відхилення від класу диференційовних функцій множини їх гармонійних інтегралів Пуассона |
| title_full | Complete Asymptotics of the Deviation of a Class of Differentiable Functions from the Set of Their Harmonic Poisson Integrals |
| title_fullStr | Complete Asymptotics of the Deviation of a Class of Differentiable Functions from the Set of Their Harmonic Poisson Integrals |
| title_full_unstemmed | Complete Asymptotics of the Deviation of a Class of Differentiable Functions from the Set of Their Harmonic Poisson Integrals |
| title_short | Complete Asymptotics of the Deviation of a Class of Differentiable Functions from the Set of Their Harmonic Poisson Integrals |
| title_sort | complete asymptotics of the deviation of a class of differentiable functions from the set of their harmonic poisson integrals |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4038 |
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