Approximation properties of a bivariate Stancu type operator
An extension of Stancu's operator \(P_{m}^{(\alpha ,\beta )}\) to the case of bivariate functions is presented and some approximation properties of this operator are discussed.
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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 |
| Subjects: | |
| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/787 |
| _version_ | 1811217966251900928 |
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| author | Dan Bărbosu |
| author_facet | Dan Bărbosu |
| author_sort | Dan Bărbosu |
| collection | DOAJ |
| description | An extension of Stancu's operator \(P_{m}^{(\alpha ,\beta )}\) to the case of bivariate functions is presented and some approximation properties of this operator are discussed. |
| first_indexed | 2024-04-12T07:02:06Z |
| format | Article |
| id | doaj.art-e38760e8d07e4f6da641e27290cff2ce |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-12T07:02:06Z |
| 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-e38760e8d07e4f6da641e27290cff2ce2022-12-22T03:42:59ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2005-02-01341Approximation properties of a bivariate Stancu type operatorDan Bărbosu0North University of Baia Mare, RomaniaAn extension of Stancu's operator \(P_{m}^{(\alpha ,\beta )}\) to the case of bivariate functions is presented and some approximation properties of this operator are discussed.https://www.ictp.acad.ro/jnaat/journal/article/view/787Stancu's operatorsKorovkin theorembivariate functionmodulus of smoothnessVoronovskaia theorem |
| spellingShingle | Dan Bărbosu Approximation properties of a bivariate Stancu type operator Journal of Numerical Analysis and Approximation Theory Stancu's operators Korovkin theorem bivariate function modulus of smoothness Voronovskaia theorem |
| title | Approximation properties of a bivariate Stancu type operator |
| title_full | Approximation properties of a bivariate Stancu type operator |
| title_fullStr | Approximation properties of a bivariate Stancu type operator |
| title_full_unstemmed | Approximation properties of a bivariate Stancu type operator |
| title_short | Approximation properties of a bivariate Stancu type operator |
| title_sort | approximation properties of a bivariate stancu type operator |
| topic | Stancu's operators Korovkin theorem bivariate function modulus of smoothness Voronovskaia theorem |
| url | https://www.ictp.acad.ro/jnaat/journal/article/view/787 |
| work_keys_str_mv | AT danbarbosu approximationpropertiesofabivariatestancutypeoperator |