Approximation of classes $C_\infty ^{\bar \psi }$ by zygmund sumsby zygmund sums
We consider the approximation of functions of the classes of $\bar \psi$ by Zygmund sums. In papticular, we present asymptotic equalities for the quantities $\varepsilon _n (C_\infty ^{\bar \psi } ;Z_n )_C$ under various conditions imposed on functions $ψ_1(·)$ and $ψ_2(·)$.
Saved in:
| Date: | 2000 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2000
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4483 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510610671796224 |
|---|---|
| author | Fedorenko, An. S. Федоренко, Ан. С. Федоренко, Ан. С. |
| author_facet | Fedorenko, An. S. Федоренко, Ан. С. Федоренко, Ан. С. |
| author_sort | Fedorenko, An. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:29:37Z |
| description | We consider the approximation of functions of the classes of $\bar \psi$ by Zygmund sums. In papticular, we present asymptotic equalities for the quantities $\varepsilon _n (C_\infty ^{\bar \psi } ;Z_n )_C$ under various conditions imposed on functions $ψ_1(·)$ and $ψ_2(·)$. |
| first_indexed | 2026-03-24T02:59:44Z |
| format | Article |
| fulltext |
0133
0134
0135
0136
0137
|
| id | umjimathkievua-article-4483 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:59:44Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/cf/dd7002d8c232f65dc8cbe1d2538dd4cf.pdf |
| spelling | umjimathkievua-article-44832020-03-18T20:29:37Z Approximation of classes $C_\infty ^{\bar \psi }$ by zygmund sumsby zygmund sums Приближение классов $C_\infty ^{\bar \psi }$ суммами Зигмунда Fedorenko, An. S. Федоренко, Ан. С. Федоренко, Ан. С. We consider the approximation of functions of the classes of $\bar \psi$ by Zygmund sums. In papticular, we present asymptotic equalities for the quantities $\varepsilon _n (C_\infty ^{\bar \psi } ;Z_n )_C$ under various conditions imposed on functions $ψ_1(·)$ and $ψ_2(·)$. Розглядається наближення функцій класів $\bar \psi$ -інтегралів сумами Зигмунда. Зокрема, наводяться асимптотичні рівності для величин $\varepsilon _n (C_\infty ^{\bar \psi } ;Z_n )_C$ за різних умов на функції $ψ_1(·)$, $ψ_2(·)$. Institute of Mathematics, NAS of Ukraine 2000-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4483 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 6 (2000); 856-860 Український математичний журнал; Том 52 № 6 (2000); 856-860 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4483/5670 https://umj.imath.kiev.ua/index.php/umj/article/view/4483/5671 Copyright (c) 2000 Fedorenko An. S. |
| spellingShingle | Fedorenko, An. S. Федоренко, Ан. С. Федоренко, Ан. С. Approximation of classes $C_\infty ^{\bar \psi }$ by zygmund sumsby zygmund sums |
| title | Approximation of classes $C_\infty ^{\bar \psi }$ by zygmund sumsby zygmund sums |
| title_alt | Приближение классов $C_\infty ^{\bar \psi }$ суммами Зигмунда |
| title_full | Approximation of classes $C_\infty ^{\bar \psi }$ by zygmund sumsby zygmund sums |
| title_fullStr | Approximation of classes $C_\infty ^{\bar \psi }$ by zygmund sumsby zygmund sums |
| title_full_unstemmed | Approximation of classes $C_\infty ^{\bar \psi }$ by zygmund sumsby zygmund sums |
| title_short | Approximation of classes $C_\infty ^{\bar \psi }$ by zygmund sumsby zygmund sums |
| title_sort | approximation of classes $c_\infty ^{\bar \psi }$ by zygmund sumsby zygmund sums |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4483 |
| work_keys_str_mv | AT fedorenkoans approximationofclassescinftybarpsibyzygmundsumsbyzygmundsums AT fedorenkoans approximationofclassescinftybarpsibyzygmundsumsbyzygmundsums AT fedorenkoans approximationofclassescinftybarpsibyzygmundsumsbyzygmundsums AT fedorenkoans približenieklassovcinftybarpsisummamizigmunda AT fedorenkoans približenieklassovcinftybarpsisummamizigmunda AT fedorenkoans približenieklassovcinftybarpsisummamizigmunda |