Limiting theorems for the best polynomial approximations in $L_\infty$ metrics
A limiting equality is established between the best approximations in $L_\infty$ of functions of several variables by algebraic polynomials and entire functions of exponential type.
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| Datum: | 1991 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1991
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/9612 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513534239047680 |
|---|---|
| author | Ganzburg , M. I. Ганзбург , М. И. |
| author_facet | Ganzburg , M. I. Ганзбург , М. И. |
| author_sort | Ganzburg , M. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-10-09T12:05:28Z |
| description | A limiting equality is established between the best approximations in $L_\infty$ of functions of several variables by algebraic polynomials and entire functions of exponential type. |
| first_indexed | 2026-03-24T03:46:12Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-9612 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:46:12Z |
| publishDate | 1991 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/48/b17a8c4bb62419a7b6d1beccffffd348 |
| spelling | umjimathkievua-article-96122025-10-09T12:05:28Z Limiting theorems for the best polynomial approximations in $L_\infty$ metrics Предельные теоремы для наилучших полиномиальных приближений в метрике $L_\infty$ Ganzburg , M. I. Ганзбург , М. И. - A limiting equality is established between the best approximations in $L_\infty$ of functions of several variables by algebraic polynomials and entire functions of exponential type. Установлено предельное равенство между наилучшими приближениями в $L_\infty$ функции многих переменных алгебраическими полиномами и целыми функциями экспоненциального типа. Встановлені гранична рівність між найкращими наближеннями в $L_\infty$ функції багатьох змінних алгебраїчними поліномами і цілими функціями експоненціального типу. Institute of Mathematics, NAS of Ukraine 1991-02-28 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/9612 Ukrains’kyi Matematychnyi Zhurnal; Vol. 43 No. 3 (1991); 336-342 Український математичний журнал; Том 43 № 3 (1991); 336-342 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/9612/10580 Copyright (c) 1991 М. И. Ганзбург |
| spellingShingle | Ganzburg , M. I. Ганзбург , М. И. Limiting theorems for the best polynomial approximations in $L_\infty$ metrics |
| title | Limiting theorems for the best polynomial approximations in $L_\infty$ metrics |
| title_alt | Предельные теоремы для наилучших полиномиальных приближений в метрике $L_\infty$ |
| title_full | Limiting theorems for the best polynomial approximations in $L_\infty$ metrics |
| title_fullStr | Limiting theorems for the best polynomial approximations in $L_\infty$ metrics |
| title_full_unstemmed | Limiting theorems for the best polynomial approximations in $L_\infty$ metrics |
| title_short | Limiting theorems for the best polynomial approximations in $L_\infty$ metrics |
| title_sort | limiting theorems for the best polynomial approximations in $l_\infty$ metrics |
| topic_facet | - |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9612 |
| work_keys_str_mv | AT ganzburgmi limitingtheoremsforthebestpolynomialapproximationsinlinftymetrics AT ganzburgmi limitingtheoremsforthebestpolynomialapproximationsinlinftymetrics AT ganzburgmi predelʹnyeteoremydlânailučšihpolinomialʹnyhpribliženijvmetrikelinfty AT ganzburgmi predelʹnyeteoremydlânailučšihpolinomialʹnyhpribliženijvmetrikelinfty |