Commutativity and spectral properties of genuine Baskakov-Durrmeyer type operators and their \(k\)th order Kantorovich modification
In this paper we present an overview of commutativity results and different methods for the proofs for Baskakov-Durrmeyer type operators and associated differential operators. We discuss the spectral properties and generalize all results to \(k\)th order Kantorovich modifications and corresponding...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2015-12-01
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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/1078 |
| _version_ | 1811291786068361216 |
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| author | Margareta Heilmann |
| author_facet | Margareta Heilmann |
| author_sort | Margareta Heilmann |
| collection | DOAJ |
| description |
In this paper we present an overview of commutativity results and different methods for the proofs for Baskakov-Durrmeyer type operators and associated differential operators. We discuss the spectral properties and generalize all results to \(k\)th order Kantorovich modifications and corresponding Durrmeyer type variants of Bleimann, Butzer and Hahn operators and Meyer-Konig and Zeller operators.
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| first_indexed | 2024-04-13T04:34:39Z |
| format | Article |
| id | doaj.art-e9d1d2e1c7d04325b7f83a75e758f53c |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-13T04:34:39Z |
| publishDate | 2015-12-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-e9d1d2e1c7d04325b7f83a75e758f53c2022-12-22T03:02:13ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2015-12-01442Commutativity and spectral properties of genuine Baskakov-Durrmeyer type operators and their \(k\)th order Kantorovich modificationMargareta Heilmann0University of Wuppertal In this paper we present an overview of commutativity results and different methods for the proofs for Baskakov-Durrmeyer type operators and associated differential operators. We discuss the spectral properties and generalize all results to \(k\)th order Kantorovich modifications and corresponding Durrmeyer type variants of Bleimann, Butzer and Hahn operators and Meyer-Konig and Zeller operators. https://ictp.acad.ro/jnaat/journal/article/view/1078Positive linear operatorsDurrmeyer type operatorsKantorovich type modificationcommutativitydifferential operatorsspectral properties. |
| spellingShingle | Margareta Heilmann Commutativity and spectral properties of genuine Baskakov-Durrmeyer type operators and their \(k\)th order Kantorovich modification Journal of Numerical Analysis and Approximation Theory Positive linear operators Durrmeyer type operators Kantorovich type modification commutativity differential operators spectral properties. |
| title | Commutativity and spectral properties of genuine Baskakov-Durrmeyer type operators and their \(k\)th order Kantorovich modification |
| title_full | Commutativity and spectral properties of genuine Baskakov-Durrmeyer type operators and their \(k\)th order Kantorovich modification |
| title_fullStr | Commutativity and spectral properties of genuine Baskakov-Durrmeyer type operators and their \(k\)th order Kantorovich modification |
| title_full_unstemmed | Commutativity and spectral properties of genuine Baskakov-Durrmeyer type operators and their \(k\)th order Kantorovich modification |
| title_short | Commutativity and spectral properties of genuine Baskakov-Durrmeyer type operators and their \(k\)th order Kantorovich modification |
| title_sort | commutativity and spectral properties of genuine baskakov durrmeyer type operators and their k th order kantorovich modification |
| topic | Positive linear operators Durrmeyer type operators Kantorovich type modification commutativity differential operators spectral properties. |
| url | https://ictp.acad.ro/jnaat/journal/article/view/1078 |
| work_keys_str_mv | AT margaretaheilmann commutativityandspectralpropertiesofgenuinebaskakovdurrmeyertypeoperatorsandtheirkthorderkantorovichmodification |