On relative widths of classes of differentiable functions. II
We obtain an upper bound for the least value of the factor $М$ for which the Kolmogorov widths $d_n (W_C^r, C)$ are equal to the relative widths $K_n (W^C_r, MW^C_j, C)$ of the class of functions $W_C^r$ with respect to the class $MW^C_j$, provided that $j > r$. This estimate is also true in...
Gespeichert in:
| Datum: | 2010 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2010
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/2877 |
| 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_ | 1860508866598404096 |
|---|---|
| author | Subbotin, Yu. N. Telyakovskii, S. A. Субботин, Ю. H. Теляковский, С. А. Субботин, Ю. H. Теляковский, С. А. |
| author_facet | Subbotin, Yu. N. Telyakovskii, S. A. Субботин, Ю. H. Теляковский, С. А. Субботин, Ю. H. Теляковский, С. А. |
| author_sort | Subbotin, Yu. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T19:39:19Z |
| description | We obtain an upper bound for the least value of the factor $М$ for which the Kolmogorov widths $d_n (W_C^r, C)$ are equal to the relative widths $K_n (W^C_r, MW^C_j, C)$ of the class of functions $W_C^r$ with respect to the class $MW^C_j$, provided that $j > r$. This estimate is also true in the case where the space $L$ is considered instead of $C$. |
| first_indexed | 2026-03-24T02:32:01Z |
| format | Article |
| fulltext |
0135
0136
0137
0138
0139
0140
0141
0142
0143
|
| id | umjimathkievua-article-2877 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:32:01Z |
| publishDate | 2010 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6d/a384759fdafb9a1d563eb0a2c937946d.pdf |
| spelling | umjimathkievua-article-28772020-03-18T19:39:19Z On relative widths of classes of differentiable functions. II Об относительных поперечниках классов дифференцируемых функций. II Subbotin, Yu. N. Telyakovskii, S. A. Субботин, Ю. H. Теляковский, С. А. Субботин, Ю. H. Теляковский, С. А. We obtain an upper bound for the least value of the factor $М$ for which the Kolmogorov widths $d_n (W_C^r, C)$ are equal to the relative widths $K_n (W^C_r, MW^C_j, C)$ of the class of functions $W_C^r$ with respect to the class $MW^C_j$, provided that $j > r$. This estimate is also true in the case where the space $L$ is considered instead of $C$. Одержано оцінку знерху для найменшого значення множника $М$, при якому рівні між собою колмогоровські поперечники $d_n (W_C^r, C)$ і відносні поперечники $K_n (W^C_r, MW^C_j, C)$ класу функцій $W_C^r$ відносно класу $MW^C_j$ при $j > r$. Ця оцінка є правильною і в тому випадку, коли замість $C$ розглядається простір $L$. Institute of Mathematics, NAS of Ukraine 2010-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/2877 Ukrains’kyi Matematychnyi Zhurnal; Vol. 62 No. 3 (2010); 423–431 Український математичний журнал; Том 62 № 3 (2010); 423–431 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/2877/2505 https://umj.imath.kiev.ua/index.php/umj/article/view/2877/2506 Copyright (c) 2010 Subbotin Yu. N.; Telyakovskii S. A. |
| spellingShingle | Subbotin, Yu. N. Telyakovskii, S. A. Субботин, Ю. H. Теляковский, С. А. Субботин, Ю. H. Теляковский, С. А. On relative widths of classes of differentiable functions. II |
| title | On relative widths of classes of differentiable functions. II |
| title_alt | Об относительных поперечниках классов дифференцируемых функций. II |
| title_full | On relative widths of classes of differentiable functions. II |
| title_fullStr | On relative widths of classes of differentiable functions. II |
| title_full_unstemmed | On relative widths of classes of differentiable functions. II |
| title_short | On relative widths of classes of differentiable functions. II |
| title_sort | on relative widths of classes of differentiable functions. ii |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/2877 |
| work_keys_str_mv | AT subbotinyun onrelativewidthsofclassesofdifferentiablefunctionsii AT telyakovskiisa onrelativewidthsofclassesofdifferentiablefunctionsii AT subbotinûh onrelativewidthsofclassesofdifferentiablefunctionsii AT telâkovskijsa onrelativewidthsofclassesofdifferentiablefunctionsii AT subbotinûh onrelativewidthsofclassesofdifferentiablefunctionsii AT telâkovskijsa onrelativewidthsofclassesofdifferentiablefunctionsii AT subbotinyun obotnositelʹnyhpoperečnikahklassovdifferenciruemyhfunkcijii AT telyakovskiisa obotnositelʹnyhpoperečnikahklassovdifferenciruemyhfunkcijii AT subbotinûh obotnositelʹnyhpoperečnikahklassovdifferenciruemyhfunkcijii AT telâkovskijsa obotnositelʹnyhpoperečnikahklassovdifferenciruemyhfunkcijii AT subbotinûh obotnositelʹnyhpoperečnikahklassovdifferenciruemyhfunkcijii AT telâkovskijsa obotnositelʹnyhpoperečnikahklassovdifferenciruemyhfunkcijii |