Analyticity of Higher-Order Moduli of Continuity of Real-Analytic Functions
The Perel'man's result according to which the first modulus of continuity of any real-analytic function f is a function analytic in a certain neighborhood of the origin is generalized to the case of arbitrary moduli of continuity of higher order.
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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/3950 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510083296788480 |
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| author | Dovgoshei, A. A. Potemkina, L. L. Довгошей, О. А. Потьомкіна, Л. Л. |
| author_facet | Dovgoshei, A. A. Potemkina, L. L. Довгошей, О. А. Потьомкіна, Л. Л. |
| author_sort | Dovgoshei, A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:16:01Z |
| description | The Perel'man's result according to which the first modulus of continuity of any real-analytic function f is a function analytic in a certain neighborhood of the origin is generalized to the case of arbitrary moduli of continuity of higher order. |
| first_indexed | 2026-03-24T02:51:21Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3950 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:51:21Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/19/c000e2e7024fbc802501a51902d14619.pdf |
| spelling | umjimathkievua-article-39502020-03-18T20:16:01Z Analyticity of Higher-Order Moduli of Continuity of Real-Analytic Functions Аналитичность модулей непрерывности высшего порядка вещественно-аналитических функций Dovgoshei, A. A. Potemkina, L. L. Довгошей, О. А. Потьомкіна, Л. Л. The Perel'man's result according to which the first modulus of continuity of any real-analytic function f is a function analytic in a certain neighborhood of the origin is generalized to the case of arbitrary moduli of continuity of higher order. Результат M. Я. Перельмана про те, що перший модуль неперервності будь-якої дійсно-аналітичної функції $f$ є функцією, аналітичною в деякому околі ну ля, узагальнено на довільні модулі неперервності вищого порядку. Institute of Mathematics, NAS of Ukraine 2003-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3950 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 6 (2003); 750-761 Український математичний журнал; Том 55 № 6 (2003); 750-761 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3950/4613 https://umj.imath.kiev.ua/index.php/umj/article/view/3950/4614 Copyright (c) 2003 Dovgoshei A. A.; Potemkina L. L. |
| spellingShingle | Dovgoshei, A. A. Potemkina, L. L. Довгошей, О. А. Потьомкіна, Л. Л. Analyticity of Higher-Order Moduli of Continuity of Real-Analytic Functions |
| title | Analyticity of Higher-Order Moduli of Continuity of Real-Analytic Functions |
| title_alt | Аналитичность модулей непрерывности высшего порядка вещественно-аналитических функций |
| title_full | Analyticity of Higher-Order Moduli of Continuity of Real-Analytic Functions |
| title_fullStr | Analyticity of Higher-Order Moduli of Continuity of Real-Analytic Functions |
| title_full_unstemmed | Analyticity of Higher-Order Moduli of Continuity of Real-Analytic Functions |
| title_short | Analyticity of Higher-Order Moduli of Continuity of Real-Analytic Functions |
| title_sort | analyticity of higher-order moduli of continuity of real-analytic functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3950 |
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