On the interference of the weight and boundary contour for algebraic polynomials in weighted Lebesgue spaces. II
We continue to study the estimation of the modulus of algebraic polynomials on the boundary contour with weight function, when the contour and the weight function have certain singularities with respect to the their quasinorm in the weighted Lebesgue space. In particular, the exact estimates were ob...
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| Datum: | 2017 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2017
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1810 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860507673675431936 |
|---|---|
| author | Özkartepe, P. Озкартепе, П. |
| author_facet | Özkartepe, P. Озкартепе, П. |
| author_sort | Özkartepe, P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2019-12-05T09:28:05Z |
| description | We continue to study the estimation of the modulus of algebraic polynomials on the boundary contour with weight function,
when the contour and the weight function have certain singularities with respect to the their quasinorm in the weighted
Lebesgue space. In particular, the exact estimates were obtained for polynomials orthonormal on the curve with respect to
the weight function with zeros on the same curve. |
| first_indexed | 2026-03-24T02:13:03Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-1810 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:13:03Z |
| publishDate | 2017 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/31/f7ce8e96dd8f45c2735fdbc26e41a031 |
| spelling | umjimathkievua-article-18102019-12-05T09:28:05Z On the interference of the weight and boundary contour for algebraic polynomials in weighted Lebesgue spaces. II Про взаємний вплив ваги та граничного контура для алгебраїчних полiномiв у вагових просторах лебега. II Özkartepe, P. Озкартепе, П. We continue to study the estimation of the modulus of algebraic polynomials on the boundary contour with weight function, when the contour and the weight function have certain singularities with respect to the their quasinorm in the weighted Lebesgue space. In particular, the exact estimates were obtained for polynomials orthonormal on the curve with respect to the weight function with zeros on the same curve. Ми продовжуємо дослiдження модулiв алгебраїчних полiномiв на граничному контурi з ваговою функцiєю у випадку, коли цей контур та вагова функцiя мають деякi сингулярностi вiдносно їх квазiнорми у ваговому просторi Лебега. Зокрема, точнi оцiнки було отримано для полiномiв, ортонормальних на кривiй вiдносно вагової функцiї з нулями на цiй кривiй. Institute of Mathematics, NAS of Ukraine 2017-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/1810 Ukrains’kyi Matematychnyi Zhurnal; Vol. 69 No. 12 (2017); 1633-1651 Український математичний журнал; Том 69 № 12 (2017); 1633-1651 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/1810/792 Copyright (c) 2017 Özkartepe P. |
| spellingShingle | Özkartepe, P. Озкартепе, П. On the interference of the weight and boundary contour for algebraic polynomials in weighted Lebesgue spaces. II |
| title | On the interference of the weight and boundary contour for algebraic polynomials
in weighted Lebesgue spaces. II |
| title_alt | Про взаємний вплив ваги та граничного контура
для алгебраїчних полiномiв у вагових просторах лебега. II |
| title_full | On the interference of the weight and boundary contour for algebraic polynomials
in weighted Lebesgue spaces. II |
| title_fullStr | On the interference of the weight and boundary contour for algebraic polynomials
in weighted Lebesgue spaces. II |
| title_full_unstemmed | On the interference of the weight and boundary contour for algebraic polynomials
in weighted Lebesgue spaces. II |
| title_short | On the interference of the weight and boundary contour for algebraic polynomials
in weighted Lebesgue spaces. II |
| title_sort | on the interference of the weight and boundary contour for algebraic polynomials
in weighted lebesgue spaces. ii |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/1810 |
| work_keys_str_mv | AT ozkartepep ontheinterferenceoftheweightandboundarycontourforalgebraicpolynomialsinweightedlebesguespacesii AT ozkartepep ontheinterferenceoftheweightandboundarycontourforalgebraicpolynomialsinweightedlebesguespacesii AT ozkartepep provzaêmnijvplivvagitagraničnogokonturadlâalgebraíčnihpolinomivuvagovihprostorahlebegaii AT ozkartepep provzaêmnijvplivvagitagraničnogokonturadlâalgebraíčnihpolinomivuvagovihprostorahlebegaii |