Bernstein operators of second kind and blending systems
We consider the fundamental polynomials associated with the Bernstein operators of second kind. They form a blending system for which we study some shape preserving properties. Modified operators are introduced; they have better interpolation properties. The corresponding blending system is also st...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2017-09-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/1103 |
| _version_ | 1811291783065239552 |
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| author | Daniela Ioana Inoan Fadel Nasaireh Ioan Rasa |
| author_facet | Daniela Ioana Inoan Fadel Nasaireh Ioan Rasa |
| author_sort | Daniela Ioana Inoan |
| collection | DOAJ |
| description |
We consider the fundamental polynomials associated with the Bernstein operators of second kind. They form a blending system for which we study some shape preserving properties.
Modified operators are introduced; they have better interpolation properties. The corresponding blending system is also studied.
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| first_indexed | 2024-04-13T04:34:38Z |
| format | Article |
| id | doaj.art-e06b692416b2485ea497c9a0af5b96ae |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-13T04:34:38Z |
| publishDate | 2017-09-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-e06b692416b2485ea497c9a0af5b96ae2022-12-22T03:02:13ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2017-09-01461Bernstein operators of second kind and blending systemsDaniela Ioana Inoan0Fadel Nasaireh1Ioan Rasa2Technical University of Cluj-Napoca, Department of MathematicsTechnical University of Cluj-Napoca, Department of MathematicsTechnical University of Cluj-Napoca, Department of Mathematics We consider the fundamental polynomials associated with the Bernstein operators of second kind. They form a blending system for which we study some shape preserving properties. Modified operators are introduced; they have better interpolation properties. The corresponding blending system is also studied. https://ictp.acad.ro/jnaat/journal/article/view/1103blending systemtotal positivityshape preserving properties |
| spellingShingle | Daniela Ioana Inoan Fadel Nasaireh Ioan Rasa Bernstein operators of second kind and blending systems Journal of Numerical Analysis and Approximation Theory blending system total positivity shape preserving properties |
| title | Bernstein operators of second kind and blending systems |
| title_full | Bernstein operators of second kind and blending systems |
| title_fullStr | Bernstein operators of second kind and blending systems |
| title_full_unstemmed | Bernstein operators of second kind and blending systems |
| title_short | Bernstein operators of second kind and blending systems |
| title_sort | bernstein operators of second kind and blending systems |
| topic | blending system total positivity shape preserving properties |
| url | https://ictp.acad.ro/jnaat/journal/article/view/1103 |
| work_keys_str_mv | AT danielaioanainoan bernsteinoperatorsofsecondkindandblendingsystems AT fadelnasaireh bernsteinoperatorsofsecondkindandblendingsystems AT ioanrasa bernsteinoperatorsofsecondkindandblendingsystems |