On Strong Summability of Fourier Series of Summable Functions
In the metric of L, we obtain estimates for the generalized means of deviations of partial Fourier sums from an arbitrary summable function in terms of the corresponding means of its best approximations by trigonometric polynomials.
Gespeichert in:
| Datum: | 2000 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2000
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4514 |
| 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_ | 1860510643358007296 |
|---|---|
| author | Pachulia, N. L. Пачулиа, Н. Л. Пачулиа, Н. Л. |
| author_facet | Pachulia, N. L. Пачулиа, Н. Л. Пачулиа, Н. Л. |
| author_sort | Pachulia, N. L. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:30:18Z |
| description | In the metric of L, we obtain estimates for the generalized means of deviations of partial Fourier sums from an arbitrary summable function in terms of the corresponding means of its best approximations by trigonometric polynomials. |
| first_indexed | 2026-03-24T03:00:15Z |
| format | Article |
| fulltext |
0092
0093
0094
0095
0096
0097
0098
0099
0100
|
| id | umjimathkievua-article-4514 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:00:15Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/2e/b041caf683154484a8c485dd3ece7e2e.pdf |
| spelling | umjimathkievua-article-45142020-03-18T20:30:18Z On Strong Summability of Fourier Series of Summable Functions О сильной суммируемости рядов Фурье суммируемой функции Pachulia, N. L. Пачулиа, Н. Л. Пачулиа, Н. Л. In the metric of L, we obtain estimates for the generalized means of deviations of partial Fourier sums from an arbitrary summable function in terms of the corresponding means of its best approximations by trigonometric polynomials. У метриці $L$ одержано оцінки узагальнених середніх для відхилень часткових сум Фур'є від довільної сумовної функції через відповідні середні її найкращих наближень тригонометричними поліномами. Institute of Mathematics, NAS of Ukraine 2000-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4514 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 8 (2000); 1103-1111 Український математичний журнал; Том 52 № 8 (2000); 1103-1111 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4514/5732 https://umj.imath.kiev.ua/index.php/umj/article/view/4514/5733 Copyright (c) 2000 Pachulia N. L. |
| spellingShingle | Pachulia, N. L. Пачулиа, Н. Л. Пачулиа, Н. Л. On Strong Summability of Fourier Series of Summable Functions |
| title | On Strong Summability of Fourier Series of Summable Functions |
| title_alt | О сильной суммируемости рядов Фурье суммируемой функции |
| title_full | On Strong Summability of Fourier Series of Summable Functions |
| title_fullStr | On Strong Summability of Fourier Series of Summable Functions |
| title_full_unstemmed | On Strong Summability of Fourier Series of Summable Functions |
| title_short | On Strong Summability of Fourier Series of Summable Functions |
| title_sort | on strong summability of fourier series of summable functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4514 |
| work_keys_str_mv | AT pachulianl onstrongsummabilityoffourierseriesofsummablefunctions AT pačulianl onstrongsummabilityoffourierseriesofsummablefunctions AT pačulianl onstrongsummabilityoffourierseriesofsummablefunctions AT pachulianl osilʹnojsummiruemostirâdovfurʹesummiruemojfunkcii AT pačulianl osilʹnojsummiruemostirâdovfurʹesummiruemojfunkcii AT pačulianl osilʹnojsummiruemostirâdovfurʹesummiruemojfunkcii |