Bernstein-type operators on triangles
The aim of the paper is to construct some univariate Bernstein-type operators on triangle, their product and Boolean sum, which interpolate a given function on the edges respectively at the vertices of triangle. Using the modulus of continuity and the Peano's theorem the remainders of correspon...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2009-02-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/898 |
| _version_ | 1818474020584030208 |
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| author | Petru Blaga Gheorghe Coman |
| author_facet | Petru Blaga Gheorghe Coman |
| author_sort | Petru Blaga |
| collection | DOAJ |
| description | The aim of the paper is to construct some univariate Bernstein-type operators on triangle, their product and Boolean sum, which interpolate a given function on the edges respectively at the vertices of triangle. Using the modulus of continuity and the Peano's theorem the remainders of corresponding approximation formulas are studied. |
| first_indexed | 2024-04-14T04:30:51Z |
| format | Article |
| id | doaj.art-b2d772120365473e920fece6a82d90d7 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-14T04:30:51Z |
| publishDate | 2009-02-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-b2d772120365473e920fece6a82d90d72022-12-22T02:12:03ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2009-02-01381Bernstein-type operators on trianglesPetru Blaga0Gheorghe Coman1Babeş-Bolyai University, Cluj-NapocaBabeş-Bolyai University, Cluj-NapocaThe aim of the paper is to construct some univariate Bernstein-type operators on triangle, their product and Boolean sum, which interpolate a given function on the edges respectively at the vertices of triangle. Using the modulus of continuity and the Peano's theorem the remainders of corresponding approximation formulas are studied.https://www.ictp.acad.ro/jnaat/journal/article/view/898Bernstein operatorproduct operatorBoolean sum operatormodulus of continuityerror evaluation |
| spellingShingle | Petru Blaga Gheorghe Coman Bernstein-type operators on triangles Journal of Numerical Analysis and Approximation Theory Bernstein operator product operator Boolean sum operator modulus of continuity error evaluation |
| title | Bernstein-type operators on triangles |
| title_full | Bernstein-type operators on triangles |
| title_fullStr | Bernstein-type operators on triangles |
| title_full_unstemmed | Bernstein-type operators on triangles |
| title_short | Bernstein-type operators on triangles |
| title_sort | bernstein type operators on triangles |
| topic | Bernstein operator product operator Boolean sum operator modulus of continuity error evaluation |
| url | https://www.ictp.acad.ro/jnaat/journal/article/view/898 |
| work_keys_str_mv | AT petrublaga bernsteintypeoperatorsontriangles AT gheorghecoman bernsteintypeoperatorsontriangles |