Approximation of continuous functions with random errors in observed values
We consider the problem of approximation of continuous functions by generalized polynomials in the case where the values of the function at the observation points are known with random errors. We construct confidence limits with a given significance level for the true values of the function at any p...
Saved in:
| Date: | 1998 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1998
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4840 |
| 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_ | 1860511017438543872 |
|---|---|
| author | Savkina, M. Yu. Савкіна, М. Ю. |
| author_facet | Savkina, M. Yu. Савкіна, М. Ю. |
| author_sort | Savkina, M. Yu. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:15:33Z |
| description | We consider the problem of approximation of continuous functions by generalized polynomials in the case where the values of the function at the observation points are known with random errors. We construct confidence limits with a given significance level for the true values of the function at any point of its domain of definition. |
| first_indexed | 2026-03-24T03:06:12Z |
| format | Article |
| fulltext |
0091
0092
0093
0094
0095
0096
|
| id | umjimathkievua-article-4840 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:06:12Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/10/447b1b03349f9793c90007776e61a710.pdf |
| spelling | umjimathkievua-article-48402020-03-18T21:15:33Z Approximation of continuous functions with random errors in observed values Приближение непрерывных функций со случайными ошибками в наблюдаемых значениях Savkina, M. Yu. Савкіна, М. Ю. We consider the problem of approximation of continuous functions by generalized polynomials in the case where the values of the function at the observation points are known with random errors. We construct confidence limits with a given significance level for the true values of the function at any point of its domain of definition. Розглядається проблема апроксимації пеперерішої функції узагальненим поліномом у випадку, коли значення функції в точках спостереження відомі з випадковими похибками. Побудовано довірчі межі з заданим рівнем значущості для справжніх значень функції у будь-якій точці з області визначення функції. Institute of Mathematics, NAS of Ukraine 1998-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4840 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 9 (1998); 1244–1249 Український математичний журнал; Том 50 № 9 (1998); 1244–1249 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4840/6379 https://umj.imath.kiev.ua/index.php/umj/article/view/4840/6380 Copyright (c) 1998 Savkina M. Yu. |
| spellingShingle | Savkina, M. Yu. Савкіна, М. Ю. Approximation of continuous functions with random errors in observed values |
| title | Approximation of continuous functions with random errors in observed values |
| title_alt | Приближение непрерывных функций со случайными ошибками в наблюдаемых значениях |
| title_full | Approximation of continuous functions with random errors in observed values |
| title_fullStr | Approximation of continuous functions with random errors in observed values |
| title_full_unstemmed | Approximation of continuous functions with random errors in observed values |
| title_short | Approximation of continuous functions with random errors in observed values |
| title_sort | approximation of continuous functions with random errors in observed values |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4840 |
| work_keys_str_mv | AT savkinamyu approximationofcontinuousfunctionswithrandomerrorsinobservedvalues AT savkínamû approximationofcontinuousfunctionswithrandomerrorsinobservedvalues AT savkinamyu približenienepreryvnyhfunkcijsoslučajnymiošibkamivnablûdaemyhznačeniâh AT savkínamû približenienepreryvnyhfunkcijsoslučajnymiošibkamivnablûdaemyhznačeniâh |