Criterion for the Denseness of Algebraic Polynomials in the Spaces $L_p \left( {{\mathbb{R}},d {\mu }} \right)$, $1 ≤ p < ∞$
The criterion for the denseness of polynomials in the space $L_p \left( {{\mathbb{R}},d {\mu }} \right)$ established by Hamburger in 1921 is extended to the spaces $L_p \left( {{\mathbb{R}},d {\mu }} \right)$, $1 ≤ p < ∞$.
Saved in:
| Date: | 2003 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2003
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3944 |
| 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_ | 1860510075955707904 |
|---|---|
| author | Bakan, A. G. Бакан, А. Г. Бакан, А. Г. |
| author_facet | Bakan, A. G. Бакан, А. Г. Бакан, А. Г. |
| author_sort | Bakan, A. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:15:55Z |
| description | The criterion for the denseness of polynomials in the space $L_p \left( {{\mathbb{R}},d {\mu }} \right)$ established by Hamburger in 1921 is extended to the spaces $L_p \left( {{\mathbb{R}},d {\mu }} \right)$, $1 ≤ p < ∞$. |
| first_indexed | 2026-03-24T02:51:14Z |
| format | Article |
| fulltext |
0125
0126
0127
0128
0129
|
| id | umjimathkievua-article-3944 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:51:14Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/35/1b91af2a39418ea810d4656ee868b935.pdf |
| spelling | umjimathkievua-article-39442020-03-18T20:15:55Z Criterion for the Denseness of Algebraic Polynomials in the Spaces $L_p \left( {{\mathbb{R}},d {\mu }} \right)$, $1 ≤ p < ∞$ Критерий плотности алгебраических полиномов в пространствах $L_p \left( {{\mathbb{R}},d {\mu }} \right)$, $1 ≤ p < ∞$ Bakan, A. G. Бакан, А. Г. Бакан, А. Г. The criterion for the denseness of polynomials in the space $L_p \left( {{\mathbb{R}},d {\mu }} \right)$ established by Hamburger in 1921 is extended to the spaces $L_p \left( {{\mathbb{R}},d {\mu }} \right)$, $1 ≤ p < ∞$. Встановлений Г. Гамбургером у 1921 р. критерій щільності многочленів у просторі $L_p \left( {{\mathbb{R}},d {\mu }} \right)$ розповсюджено на простори $L_p \left( {{\mathbb{R}},d {\mu }} \right)$, $1 ≤ p < ∞$. Institute of Mathematics, NAS of Ukraine 2003-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3944 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 5 (2003); 701-705 Український математичний журнал; Том 55 № 5 (2003); 701-705 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3944/4601 https://umj.imath.kiev.ua/index.php/umj/article/view/3944/4602 Copyright (c) 2003 Bakan A. G. |
| spellingShingle | Bakan, A. G. Бакан, А. Г. Бакан, А. Г. Criterion for the Denseness of Algebraic Polynomials in the Spaces $L_p \left( {{\mathbb{R}},d {\mu }} \right)$, $1 ≤ p < ∞$ |
| title | Criterion for the Denseness of Algebraic Polynomials in the Spaces $L_p \left( {{\mathbb{R}},d {\mu }} \right)$, $1 ≤ p < ∞$ |
| title_alt | Критерий плотности алгебраических полиномов в пространствах $L_p \left( {{\mathbb{R}},d {\mu }} \right)$, $1 ≤ p < ∞$ |
| title_full | Criterion for the Denseness of Algebraic Polynomials in the Spaces $L_p \left( {{\mathbb{R}},d {\mu }} \right)$, $1 ≤ p < ∞$ |
| title_fullStr | Criterion for the Denseness of Algebraic Polynomials in the Spaces $L_p \left( {{\mathbb{R}},d {\mu }} \right)$, $1 ≤ p < ∞$ |
| title_full_unstemmed | Criterion for the Denseness of Algebraic Polynomials in the Spaces $L_p \left( {{\mathbb{R}},d {\mu }} \right)$, $1 ≤ p < ∞$ |
| title_short | Criterion for the Denseness of Algebraic Polynomials in the Spaces $L_p \left( {{\mathbb{R}},d {\mu }} \right)$, $1 ≤ p < ∞$ |
| title_sort | criterion for the denseness of algebraic polynomials in the spaces $l_p \left( {{\mathbb{r}},d {\mu }} \right)$, $1 ≤ p < ∞$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3944 |
| work_keys_str_mv | AT bakanag criterionforthedensenessofalgebraicpolynomialsinthespaceslpleftmathbbrdmuright1plt AT bakanag criterionforthedensenessofalgebraicpolynomialsinthespaceslpleftmathbbrdmuright1plt AT bakanag criterionforthedensenessofalgebraicpolynomialsinthespaceslpleftmathbbrdmuright1plt AT bakanag kriterijplotnostialgebraičeskihpolinomovvprostranstvahlpleftmathbbrdmuright1plt AT bakanag kriterijplotnostialgebraičeskihpolinomovvprostranstvahlpleftmathbbrdmuright1plt AT bakanag kriterijplotnostialgebraičeskihpolinomovvprostranstvahlpleftmathbbrdmuright1plt |