Approximation of functions regular in convex polyhedrons by exponential polynomials of a special form
We construct exponential polynomials of special form which sufficiently well approximate functions that are regular in an open convex polygon and continuous on its closure.
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| Date: | 1992 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8112 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512913989566464 |
|---|---|
| author | Melnik , Yu. I. Мельник , Ю. И. |
| author_facet | Melnik , Yu. I. Мельник , Ю. И. |
| author_sort | Melnik , Yu. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-01-31T10:37:52Z |
| description | We construct exponential polynomials of special form which sufficiently well approximate functions that are regular in an open convex polygon and continuous on its closure. |
| first_indexed | 2026-03-24T03:36:21Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8112 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:36:21Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1b/c188eb6dac1ef64cc62407e4d84cf91b.pdf |
| spelling | umjimathkievua-article-81122024-01-31T10:37:52Z Approximation of functions regular in convex polyhedrons by exponential polynomials of a special form О приближении регулярных в выпуклых многоугольниках функций экспоненциальными полиномами специального вида Melnik , Yu. I. Мельник , Ю. И. We construct exponential polynomials of special form which sufficiently well approximate functions that are regular in an open convex polygon and continuous on its closure. Построены экспоненциальные полиномы специального вида, которые достаточно хорошо приближают функции, регулярные в открытом выпуклом многоугольнике и непрерывные в замкнутом. Побудовані експоненціальні поліноми спеціального вигляду, які досить добре наближають функції, регулярні у відкритому опуклому многокутнику і неперервні в замкненому. Institute of Mathematics, NAS of Ukraine 1992-04-02 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8112 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 3 (1992); 424-426 Український математичний журнал; Том 44 № 3 (1992); 424-426 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8112/9642 Copyright (c) 1992 Yu. I. Melnik |
| spellingShingle | Melnik , Yu. I. Мельник , Ю. И. Approximation of functions regular in convex polyhedrons by exponential polynomials of a special form |
| title | Approximation of functions regular in convex polyhedrons by exponential polynomials of a special form |
| title_alt | О приближении регулярных в выпуклых многоугольниках функций экспоненциальными полиномами специального вида |
| title_full | Approximation of functions regular in convex polyhedrons by exponential polynomials of a special form |
| title_fullStr | Approximation of functions regular in convex polyhedrons by exponential polynomials of a special form |
| title_full_unstemmed | Approximation of functions regular in convex polyhedrons by exponential polynomials of a special form |
| title_short | Approximation of functions regular in convex polyhedrons by exponential polynomials of a special form |
| title_sort | approximation of functions regular in convex polyhedrons by exponential polynomials of a special form |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8112 |
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