Rate of convergence of a group of deviations on sets of $\bar{\psi}$−integrals
We study functionals that characterize the strong summation of Fourier series on sets of $\bar{\psi}$−integrals in the uniform and integral metrics. As a result, we obtain estimates exact in order for the best approximations of functions from these sets by trigonometric polynomials.
Gespeichert in:
| Datum: | 1999 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1999
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4771 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510945934049280 |
|---|---|
| author | Stepanets, O. I. Степанец, А. И. Степанец, А. И. |
| author_facet | Stepanets, O. I. Степанец, А. И. Степанец, А. И. |
| author_sort | Stepanets, O. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:13:33Z |
| description | We study functionals that characterize the strong summation of Fourier series on sets of $\bar{\psi}$−integrals in the uniform and integral metrics. As a result, we obtain estimates exact in order for the best approximations of functions from these sets by trigonometric polynomials. |
| first_indexed | 2026-03-24T03:05:04Z |
| format | Article |
| fulltext |
0089
0090
0091
0092
0093
0094
0095
0096
0097
0098
0099
0100
0101
0102
0103
0104
0105
0106
0107
0108
0109
|
| id | umjimathkievua-article-4771 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:05:04Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6e/cb3ae594f114a7ac15d71c3f445a796e.pdf |
| spelling | umjimathkievua-article-47712020-03-18T21:13:33Z Rate of convergence of a group of deviations on sets of $\bar{\psi}$−integrals Скорость сходимости группы отклонений на множествах $\bar{\psi}$-интегралов Stepanets, O. I. Степанец, А. И. Степанец, А. И. We study functionals that characterize the strong summation of Fourier series on sets of $\bar{\psi}$−integrals in the uniform and integral metrics. As a result, we obtain estimates exact in order for the best approximations of functions from these sets by trigonometric polynomials. Вивчаються функціонали, що характеризують сильне підсумовування рядів Фур'є на множинах $\bar{\psi}$ -інтегралів в рівномірній та інтегральній метриках. Як наслідок, одержано точні за порядком оцінки найкращих наближень тригонометричними поліномами функцій із таких множин. Institute of Mathematics, NAS of Ukraine 1999-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4771 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 12 (1999); 1673-1693 Український математичний журнал; Том 51 № 12 (1999); 1673-1693 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4771/6243 https://umj.imath.kiev.ua/index.php/umj/article/view/4771/6244 Copyright (c) 1999 Stepanets O. I. |
| spellingShingle | Stepanets, O. I. Степанец, А. И. Степанец, А. И. Rate of convergence of a group of deviations on sets of $\bar{\psi}$−integrals |
| title | Rate of convergence of a group of deviations on sets of $\bar{\psi}$−integrals |
| title_alt | Скорость сходимости группы отклонений на множествах $\bar{\psi}$-интегралов |
| title_full | Rate of convergence of a group of deviations on sets of $\bar{\psi}$−integrals |
| title_fullStr | Rate of convergence of a group of deviations on sets of $\bar{\psi}$−integrals |
| title_full_unstemmed | Rate of convergence of a group of deviations on sets of $\bar{\psi}$−integrals |
| title_short | Rate of convergence of a group of deviations on sets of $\bar{\psi}$−integrals |
| title_sort | rate of convergence of a group of deviations on sets of $\bar{\psi}$−integrals |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4771 |
| work_keys_str_mv | AT stepanetsoi rateofconvergenceofagroupofdeviationsonsetsofbarpsiintegrals AT stepanecai rateofconvergenceofagroupofdeviationsonsetsofbarpsiintegrals AT stepanecai rateofconvergenceofagroupofdeviationsonsetsofbarpsiintegrals AT stepanetsoi skorostʹshodimostigruppyotklonenijnamnožestvahbarpsiintegralov AT stepanecai skorostʹshodimostigruppyotklonenijnamnožestvahbarpsiintegralov AT stepanecai skorostʹshodimostigruppyotklonenijnamnožestvahbarpsiintegralov |