Approximate of differentiated functions by polynomials on regions with external peaks
For isotropic Sobolev spaces defined on domains with outward cusps of power type, a method of approximation of functions and their derivatives by algebraic polynomials is indicated, and the corresponding approximation estimates are given.
Saved in:
| Date: | 1992 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7895 |
| 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_ | 1860512808684224512 |
|---|---|
| author | Semenyuk , V. B. Семенюк , В. Б. |
| author_facet | Semenyuk , V. B. Семенюк , В. Б. |
| author_sort | Semenyuk , V. B. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-10-26T11:41:49Z |
| description | For isotropic Sobolev spaces defined on domains with outward cusps of power type, a method of approximation of functions and their derivatives by algebraic polynomials is indicated, and the corresponding approximation estimates are given. |
| first_indexed | 2026-03-24T03:34:40Z |
| format | Article |
| fulltext |
0534
0535
0536
0537
0538
0539
0540
|
| id | umjimathkievua-article-7895 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:34:40Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1a/eac97011a2b7a5b2c7e3e6a0b8a0571a.pdf |
| spelling | umjimathkievua-article-78952023-10-26T11:41:49Z Approximate of differentiated functions by polynomials on regions with external peaks Приближение дифференцируемых функций многочленами на областях с внешними пиками Semenyuk , V. B. Семенюк , В. Б. For isotropic Sobolev spaces defined on domains with outward cusps of power type, a method of approximation of functions and their derivatives by algebraic polynomials is indicated, and the corresponding approximation estimates are given. Для изотропных пространств С. Л. Соболева, определенных на областях с внешними пиками степенного вида, указывается метод и даются оценки приближения функций и их производных алгебраическими многочленами. Для ізотропних просторів С. Л. Соболева, визначених на областях із зовнішніми піками степеневого вигляду, вказується метод і даються оцінки наближення функцій і їх похідних алгебраїчними многочленами. Institute of Mathematics, NAS of Ukraine 1992-04-17 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/7895 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 4 (1992); 534-540 Український математичний журнал; Том 44 № 4 (1992); 534-540 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/7895/9515 Copyright (c) 1992 V. B. Semenyuk |
| spellingShingle | Semenyuk , V. B. Семенюк , В. Б. Approximate of differentiated functions by polynomials on regions with external peaks |
| title | Approximate of differentiated functions by polynomials on regions with external peaks |
| title_alt | Приближение дифференцируемых функций многочленами на областях с внешними пиками |
| title_full | Approximate of differentiated functions by polynomials on regions with external peaks |
| title_fullStr | Approximate of differentiated functions by polynomials on regions with external peaks |
| title_full_unstemmed | Approximate of differentiated functions by polynomials on regions with external peaks |
| title_short | Approximate of differentiated functions by polynomials on regions with external peaks |
| title_sort | approximate of differentiated functions by polynomials on regions with external peaks |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7895 |
| work_keys_str_mv | AT semenyukvb approximateofdifferentiatedfunctionsbypolynomialsonregionswithexternalpeaks AT semenûkvb approximateofdifferentiatedfunctionsbypolynomialsonregionswithexternalpeaks AT semenyukvb približeniedifferenciruemyhfunkcijmnogočlenaminaoblastâhsvnešnimipikami AT semenûkvb približeniedifferenciruemyhfunkcijmnogočlenaminaoblastâhsvnešnimipikami |