On the uniqueness of elements of the best approximation and the best one-sided approximation in the space $L_1$
The problem of uniqueness of the best approximations in the space $L_1[a, b]$ is studied We consider the problem of the best approximation and the best $(\alpha, \beta)$-approximation of continuous functions and the problem of the best one-sided approximation of continuously differentiable functio...
Gespeichert in:
| Datum: | 1994 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1994
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5711 |
| 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_ | 1860511934687739904 |
|---|---|
| author | Babenko, V. F. Glushko, V. N. Бабенко, В. Ф. Глушко, В. Н. Бабенко, В. Ф. Глушко, В. Н. |
| author_facet | Babenko, V. F. Glushko, V. N. Бабенко, В. Ф. Глушко, В. Н. Бабенко, В. Ф. Глушко, В. Н. |
| author_sort | Babenko, V. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:16:22Z |
| description | The problem of uniqueness of the best approximations in the space $L_1[a, b]$ is studied We consider the problem of
the best approximation and the best $(\alpha, \beta)$-approximation of continuous functions and the problem of the
best one-sided approximation of continuously differentiable functions. |
| first_indexed | 2026-03-24T03:20:47Z |
| format | Article |
| fulltext |
0001
0002
0003
0004
0005
0006
0007
0008
0009
|
| id | umjimathkievua-article-5711 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:20:47Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/37/11e0dac2bfcf4b91ed9b29c0cfc42137.pdf |
| spelling | umjimathkievua-article-57112020-03-19T09:16:22Z On the uniqueness of elements of the best approximation and the best one-sided approximation in the space $L_1$ О единственности элементов наилучшего и наилучшего одностороннего приближений в пространстве $L_1$ Babenko, V. F. Glushko, V. N. Бабенко, В. Ф. Глушко, В. Н. Бабенко, В. Ф. Глушко, В. Н. The problem of uniqueness of the best approximations in the space $L_1[a, b]$ is studied We consider the problem of the best approximation and the best $(\alpha, \beta)$-approximation of continuous functions and the problem of the best one-sided approximation of continuously differentiable functions. Вивчаються питання сяйності елементів найкращого наближення у просторі $L_1[a, b]$. Розглядаються задачі найкращого та найкращого $(\alpha, \beta)$-наблнження неперервних функцій, а також задача найкращого одностороннього наближення неперервно-диференційовних функцій. Institute of Mathematics, NAS of Ukraine 1994-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5711 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 5 (1994); 475–483 Український математичний журнал; Том 46 № 5 (1994); 475–483 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5711/8107 https://umj.imath.kiev.ua/index.php/umj/article/view/5711/8108 Copyright (c) 1994 Babenko V. F.; Glushko V. N. |
| spellingShingle | Babenko, V. F. Glushko, V. N. Бабенко, В. Ф. Глушко, В. Н. Бабенко, В. Ф. Глушко, В. Н. On the uniqueness of elements of the best approximation and the best one-sided approximation in the space $L_1$ |
| title | On the uniqueness of elements of the best approximation and the best one-sided approximation in the space $L_1$ |
| title_alt | О единственности элементов наилучшего и наилучшего одностороннего приближений в пространстве $L_1$ |
| title_full | On the uniqueness of elements of the best approximation and the best one-sided approximation in the space $L_1$ |
| title_fullStr | On the uniqueness of elements of the best approximation and the best one-sided approximation in the space $L_1$ |
| title_full_unstemmed | On the uniqueness of elements of the best approximation and the best one-sided approximation in the space $L_1$ |
| title_short | On the uniqueness of elements of the best approximation and the best one-sided approximation in the space $L_1$ |
| title_sort | on the uniqueness of elements of the best approximation and the best one-sided approximation in the space $l_1$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5711 |
| work_keys_str_mv | AT babenkovf ontheuniquenessofelementsofthebestapproximationandthebestonesidedapproximationinthespacel1 AT glushkovn ontheuniquenessofelementsofthebestapproximationandthebestonesidedapproximationinthespacel1 AT babenkovf ontheuniquenessofelementsofthebestapproximationandthebestonesidedapproximationinthespacel1 AT gluškovn ontheuniquenessofelementsofthebestapproximationandthebestonesidedapproximationinthespacel1 AT babenkovf ontheuniquenessofelementsofthebestapproximationandthebestonesidedapproximationinthespacel1 AT gluškovn ontheuniquenessofelementsofthebestapproximationandthebestonesidedapproximationinthespacel1 AT babenkovf oedinstvennostiélementovnailučšegoinailučšegoodnostoronnegopribliženijvprostranstvel1 AT glushkovn oedinstvennostiélementovnailučšegoinailučšegoodnostoronnegopribliženijvprostranstvel1 AT babenkovf oedinstvennostiélementovnailučšegoinailučšegoodnostoronnegopribliženijvprostranstvel1 AT gluškovn oedinstvennostiélementovnailučšegoinailučšegoodnostoronnegopribliženijvprostranstvel1 AT babenkovf oedinstvennostiélementovnailučšegoinailučšegoodnostoronnegopribliženijvprostranstvel1 AT gluškovn oedinstvennostiélementovnailučšegoinailučšegoodnostoronnegopribliženijvprostranstvel1 |