Approximation of Certain Classes of Singular Integrals by Algebraic Polynomials
We study the problem of pointwise approximation by algebraic polynomials for classes of functions that are singular integrals of bounded functions. We obtain asymptotically exact estimates of approximations.
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| Datum: | 2001 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2001
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4256 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510388163969024 |
|---|---|
| author | Motornyi, V. P. Моторный, В. П. Моторный, В. П. |
| author_facet | Motornyi, V. P. Моторный, В. П. Моторный, В. П. |
| author_sort | Motornyi, V. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:25:15Z |
| description | We study the problem of pointwise approximation by algebraic polynomials for classes of functions that are singular integrals of bounded functions. We obtain asymptotically exact estimates of approximations. |
| first_indexed | 2026-03-24T02:56:12Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4256 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:56:12Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/aa/743aeecaed7dbbf56a54ccd2cd0369aa.pdf |
| spelling | umjimathkievua-article-42562020-03-18T20:25:15Z Approximation of Certain Classes of Singular Integrals by Algebraic Polynomials Приближение некоторых классов сингулярных интегралов алгебраическими многочленами Motornyi, V. P. Моторный, В. П. Моторный, В. П. We study the problem of pointwise approximation by algebraic polynomials for classes of functions that are singular integrals of bounded functions. We obtain asymptotically exact estimates of approximations. Досліджується поточкове наближення алгебраїчними многочленами класів функцій, які є сингулярними інтегралами від обмежених функцій. Отримано асимптотично точні оцінки наближень. Institute of Mathematics, NAS of Ukraine 2001-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4256 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 3 (2001); 331-345 Український математичний журнал; Том 53 № 3 (2001); 331-345 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4256/5216 https://umj.imath.kiev.ua/index.php/umj/article/view/4256/5217 Copyright (c) 2001 Motornyi V. P. |
| spellingShingle | Motornyi, V. P. Моторный, В. П. Моторный, В. П. Approximation of Certain Classes of Singular Integrals by Algebraic Polynomials |
| title | Approximation of Certain Classes of Singular Integrals by Algebraic Polynomials |
| title_alt | Приближение некоторых классов сингулярных интегралов алгебраическими многочленами |
| title_full | Approximation of Certain Classes of Singular Integrals by Algebraic Polynomials |
| title_fullStr | Approximation of Certain Classes of Singular Integrals by Algebraic Polynomials |
| title_full_unstemmed | Approximation of Certain Classes of Singular Integrals by Algebraic Polynomials |
| title_short | Approximation of Certain Classes of Singular Integrals by Algebraic Polynomials |
| title_sort | approximation of certain classes of singular integrals by algebraic polynomials |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4256 |
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