RATIONAL APPROXIMATIONS OF LIPSCHITZFUNCTIONS FROM THE HARDY CLASS ON THE LINE
We study a rate of uniform approximations on the realline of summable Lipschitz functions f having a summable Hilbert transform H f by normalized logarithmic derivatives of rational functions. Inequalities between different metrics of the logarithmic derivatives of algebraic polynomials on the line...
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2021-04-01
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| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=9530&lang=en |
| _version_ | 1818438419035979776 |
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| author | M. A. Komarov |
| author_facet | M. A. Komarov |
| author_sort | M. A. Komarov |
| collection | DOAJ |
| description | We study a rate of uniform approximations on the realline of summable Lipschitz functions f having a summable Hilbert transform H f by normalized logarithmic derivatives of rational functions. Inequalities between different metrics of the logarithmic derivatives of algebraic polynomials on the line are also considered. |
| first_indexed | 2024-12-14T17:40:16Z |
| format | Article |
| id | doaj.art-abcb81015d0349df961a09d2f620b2b9 |
| institution | Directory Open Access Journal |
| issn | 2306-3424 2306-3432 |
| language | English |
| last_indexed | 2024-12-14T17:40:16Z |
| publishDate | 2021-04-01 |
| publisher | Petrozavodsk State University |
| record_format | Article |
| series | Проблемы анализа |
| spelling | doaj.art-abcb81015d0349df961a09d2f620b2b92022-12-21T22:52:52ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322021-04-0110(28)2546610.15393/j3.art.2021.9530RATIONAL APPROXIMATIONS OF LIPSCHITZFUNCTIONS FROM THE HARDY CLASS ON THE LINEM. A. Komarov0Vladimir State UniversityWe study a rate of uniform approximations on the realline of summable Lipschitz functions f having a summable Hilbert transform H f by normalized logarithmic derivatives of rational functions. Inequalities between different metrics of the logarithmic derivatives of algebraic polynomials on the line are also considered.https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=9530&lang=enlogarithmic derivative of a rational functionhilbert transformuniform approximationsimple partial fractioninequality etween different metrics |
| spellingShingle | M. A. Komarov RATIONAL APPROXIMATIONS OF LIPSCHITZFUNCTIONS FROM THE HARDY CLASS ON THE LINE Проблемы анализа logarithmic derivative of a rational function hilbert transform uniform approximation simple partial fraction inequality etween different metrics |
| title | RATIONAL APPROXIMATIONS OF LIPSCHITZFUNCTIONS FROM THE HARDY CLASS ON THE LINE |
| title_full | RATIONAL APPROXIMATIONS OF LIPSCHITZFUNCTIONS FROM THE HARDY CLASS ON THE LINE |
| title_fullStr | RATIONAL APPROXIMATIONS OF LIPSCHITZFUNCTIONS FROM THE HARDY CLASS ON THE LINE |
| title_full_unstemmed | RATIONAL APPROXIMATIONS OF LIPSCHITZFUNCTIONS FROM THE HARDY CLASS ON THE LINE |
| title_short | RATIONAL APPROXIMATIONS OF LIPSCHITZFUNCTIONS FROM THE HARDY CLASS ON THE LINE |
| title_sort | rational approximations of lipschitzfunctions from the hardy class on the line |
| topic | logarithmic derivative of a rational function hilbert transform uniform approximation simple partial fraction inequality etween different metrics |
| url | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=9530&lang=en |
| work_keys_str_mv | AT makomarov rationalapproximationsoflipschitzfunctionsfromthehardyclassontheline |