The generalization of Voronovskaja's theorem for a class of linear and positive operators
In this paper we generalize Voronovskaja's theorem for a class of linear and positive operators, and then, through particular cases, we obtain statements verified by the Bernstein, Schurer, Stancu, Kantorovich and Durrmeyer operators.
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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://ictp.acad.ro/jnaat/journal/article/view/794 |
| _version_ | 1828748093790617600 |
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| author | Ovidiu T. Pop |
| author_facet | Ovidiu T. Pop |
| author_sort | Ovidiu T. Pop |
| collection | DOAJ |
| description | In this paper we generalize Voronovskaja's theorem for a class of linear and positive operators, and then, through particular cases, we obtain statements verified by the Bernstein, Schurer, Stancu, Kantorovich and Durrmeyer operators. |
| first_indexed | 2024-04-14T04:54:05Z |
| format | Article |
| id | doaj.art-a8006b84efcc45f48f3429261f321c2a |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-14T04:54:05Z |
| 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-a8006b84efcc45f48f3429261f321c2a2022-12-22T02:11:11ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2005-02-01341The generalization of Voronovskaja's theorem for a class of linear and positive operatorsOvidiu T. Pop0National College “Mihai Eminescu”, Satu Mare, RomaniaIn this paper we generalize Voronovskaja's theorem for a class of linear and positive operators, and then, through particular cases, we obtain statements verified by the Bernstein, Schurer, Stancu, Kantorovich and Durrmeyer operators.https://ictp.acad.ro/jnaat/journal/article/view/794Bernstein operatorsBernstein-Schurer operatorsBernstein-Stancu operatorsKantorovich operatorsDurrmeyer operatorsVoronovskaja's theorem |
| spellingShingle | Ovidiu T. Pop The generalization of Voronovskaja's theorem for a class of linear and positive operators Journal of Numerical Analysis and Approximation Theory Bernstein operators Bernstein-Schurer operators Bernstein-Stancu operators Kantorovich operators Durrmeyer operators Voronovskaja's theorem |
| title | The generalization of Voronovskaja's theorem for a class of linear and positive operators |
| title_full | The generalization of Voronovskaja's theorem for a class of linear and positive operators |
| title_fullStr | The generalization of Voronovskaja's theorem for a class of linear and positive operators |
| title_full_unstemmed | The generalization of Voronovskaja's theorem for a class of linear and positive operators |
| title_short | The generalization of Voronovskaja's theorem for a class of linear and positive operators |
| title_sort | generalization of voronovskaja s theorem for a class of linear and positive operators |
| topic | Bernstein operators Bernstein-Schurer operators Bernstein-Stancu operators Kantorovich operators Durrmeyer operators Voronovskaja's theorem |
| url | https://ictp.acad.ro/jnaat/journal/article/view/794 |
| work_keys_str_mv | AT ovidiutpop thegeneralizationofvoronovskajastheoremforaclassoflinearandpositiveoperators AT ovidiutpop generalizationofvoronovskajastheoremforaclassoflinearandpositiveoperators |