On approximation properties of some non-positive Bernstein-Durrmeyer type operators
In this paper we shall introduce a new type of Bernstein Durrmeyer operators which are not positive on the entire interval [0, 1]. For these operators we will study the uniform convergence on all continuous functions on [0, 1] as well as a result given in terms of modulus of continuity ω(f, δ). A Vo...
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| Format: | Article |
| Language: | English |
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Sciendo
2023-01-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
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| Online Access: | https://doi.org/10.2478/auom-2023-0014 |
| _version_ | 1811159206548471808 |
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| author | Vasian Bianca Ioana |
| author_facet | Vasian Bianca Ioana |
| author_sort | Vasian Bianca Ioana |
| collection | DOAJ |
| description | In this paper we shall introduce a new type of Bernstein Durrmeyer operators which are not positive on the entire interval [0, 1]. For these operators we will study the uniform convergence on all continuous functions on [0, 1] as well as a result given in terms of modulus of continuity ω(f, δ). A Voronovskaja type theorem will be proved as well. |
| first_indexed | 2024-04-10T05:38:18Z |
| format | Article |
| id | doaj.art-e17ed30ed6c1458fb95ffcc52febb17d |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-04-10T05:38:18Z |
| publishDate | 2023-01-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-e17ed30ed6c1458fb95ffcc52febb17d2023-03-06T17:00:03ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352023-01-0131125126910.2478/auom-2023-0014On approximation properties of some non-positive Bernstein-Durrmeyer type operatorsVasian Bianca Ioana0Department of Mathematics and Computer Science, Transilvania University of Braov, Bdul Eroilor 29, 500036Braov, Romania.In this paper we shall introduce a new type of Bernstein Durrmeyer operators which are not positive on the entire interval [0, 1]. For these operators we will study the uniform convergence on all continuous functions on [0, 1] as well as a result given in terms of modulus of continuity ω(f, δ). A Voronovskaja type theorem will be proved as well.https://doi.org/10.2478/auom-2023-0014linear operatorsnon-positive operatorsapproximation by operatorsquantitative resultsbernstein-durrmeyer type operatorsprimary 47a58, 41a25secondary 47a30, 41a10 |
| spellingShingle | Vasian Bianca Ioana On approximation properties of some non-positive Bernstein-Durrmeyer type operators Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica linear operators non-positive operators approximation by operators quantitative results bernstein-durrmeyer type operators primary 47a58, 41a25 secondary 47a30, 41a10 |
| title | On approximation properties of some non-positive Bernstein-Durrmeyer type operators |
| title_full | On approximation properties of some non-positive Bernstein-Durrmeyer type operators |
| title_fullStr | On approximation properties of some non-positive Bernstein-Durrmeyer type operators |
| title_full_unstemmed | On approximation properties of some non-positive Bernstein-Durrmeyer type operators |
| title_short | On approximation properties of some non-positive Bernstein-Durrmeyer type operators |
| title_sort | on approximation properties of some non positive bernstein durrmeyer type operators |
| topic | linear operators non-positive operators approximation by operators quantitative results bernstein-durrmeyer type operators primary 47a58, 41a25 secondary 47a30, 41a10 |
| url | https://doi.org/10.2478/auom-2023-0014 |
| work_keys_str_mv | AT vasianbiancaioana onapproximationpropertiesofsomenonpositivebernsteindurrmeyertypeoperators |