On the \(L_{p}\)-saturation of the Ye-Zhou operator
We solve the saturation problem for a class of Ye-Zhou operator \(T_{n}( f , x ) = P_{n}( x ) A_{n} L_{n}( f )\) with suitable sequence of matrices \(\{ A_{n} \}_{n \geq 1}.\) The solution is based on the saturation theorem for the Kantorovich operator established by V. Maier and S. D. Riemenschneid...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2005-02-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
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| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/791 |
| _version_ | 1818529299023527936 |
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| author | Zoltán Finta |
| author_facet | Zoltán Finta |
| author_sort | Zoltán Finta |
| collection | DOAJ |
| description | We solve the saturation problem for a class of Ye-Zhou operator \(T_{n}( f , x ) = P_{n}( x ) A_{n} L_{n}( f )\) with suitable sequence of matrices \(\{ A_{n} \}_{n \geq 1}.\) The solution is based on the saturation theorem for the Kantorovich operator established by V. Maier and S. D. Riemenschneider. |
| first_indexed | 2024-12-11T17:05:06Z |
| format | Article |
| id | doaj.art-8684d857d9a1484db0e72d06e8413e6e |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-12-11T17:05:06Z |
| publishDate | 2005-02-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-8684d857d9a1484db0e72d06e8413e6e2022-12-22T00:57:43ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2005-02-01341On the \(L_{p}\)-saturation of the Ye-Zhou operatorZoltán Finta0“Babes-Bolyai” University, Cluj-Napoca, RomaniaWe solve the saturation problem for a class of Ye-Zhou operator \(T_{n}( f , x ) = P_{n}( x ) A_{n} L_{n}( f )\) with suitable sequence of matrices \(\{ A_{n} \}_{n \geq 1}.\) The solution is based on the saturation theorem for the Kantorovich operator established by V. Maier and S. D. Riemenschneider.https://ictp.acad.ro/jnaat/journal/article/view/791Ye-Zhou operatorKantorovich operatorsaturation theorem |
| spellingShingle | Zoltán Finta On the \(L_{p}\)-saturation of the Ye-Zhou operator Journal of Numerical Analysis and Approximation Theory Ye-Zhou operator Kantorovich operator saturation theorem |
| title | On the \(L_{p}\)-saturation of the Ye-Zhou operator |
| title_full | On the \(L_{p}\)-saturation of the Ye-Zhou operator |
| title_fullStr | On the \(L_{p}\)-saturation of the Ye-Zhou operator |
| title_full_unstemmed | On the \(L_{p}\)-saturation of the Ye-Zhou operator |
| title_short | On the \(L_{p}\)-saturation of the Ye-Zhou operator |
| title_sort | on the l p saturation of the ye zhou operator |
| topic | Ye-Zhou operator Kantorovich operator saturation theorem |
| url | https://ictp.acad.ro/jnaat/journal/article/view/791 |
| work_keys_str_mv | AT zoltanfinta onthelpsaturationoftheyezhouoperator |