Approximation and geometric properties of some complex Bernstein-Stancu polynomials in compact disks
In this paper, the order of simultaneous approximation, convergence results of the iterates and shape preserving properties, for complex Bernstein-Stancu polynomials (depending on one parameter) attached to analytic functions on compact disks are obtained.
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2007-02-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/856 |
| _version_ | 1818108435375325184 |
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| author | Sorin G. Gal |
| author_facet | Sorin G. Gal |
| author_sort | Sorin G. Gal |
| collection | DOAJ |
| description | In this paper, the order of simultaneous approximation, convergence results of the iterates and shape preserving properties, for complex Bernstein-Stancu polynomials (depending on one parameter) attached to analytic functions on compact disks are obtained. |
| first_indexed | 2024-12-11T02:15:19Z |
| format | Article |
| id | doaj.art-4d622145e224497287935bd926cbbb74 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-12-11T02:15:19Z |
| publishDate | 2007-02-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-4d622145e224497287935bd926cbbb742022-12-22T01:24:11ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2007-02-01361Approximation and geometric properties of some complex Bernstein-Stancu polynomials in compact disksSorin G. Gal0University of Oradea, RomaniaIn this paper, the order of simultaneous approximation, convergence results of the iterates and shape preserving properties, for complex Bernstein-Stancu polynomials (depending on one parameter) attached to analytic functions on compact disks are obtained.https://ictp.acad.ro/jnaat/journal/article/view/856complex Bernstein-Stancu polynomialssimultaneous approximationiterates of complex Bernstein-Stancu polynomialsshape preserving propertiesunivalentstarlike |
| spellingShingle | Sorin G. Gal Approximation and geometric properties of some complex Bernstein-Stancu polynomials in compact disks Journal of Numerical Analysis and Approximation Theory complex Bernstein-Stancu polynomials simultaneous approximation iterates of complex Bernstein-Stancu polynomials shape preserving properties univalent starlike |
| title | Approximation and geometric properties of some complex Bernstein-Stancu polynomials in compact disks |
| title_full | Approximation and geometric properties of some complex Bernstein-Stancu polynomials in compact disks |
| title_fullStr | Approximation and geometric properties of some complex Bernstein-Stancu polynomials in compact disks |
| title_full_unstemmed | Approximation and geometric properties of some complex Bernstein-Stancu polynomials in compact disks |
| title_short | Approximation and geometric properties of some complex Bernstein-Stancu polynomials in compact disks |
| title_sort | approximation and geometric properties of some complex bernstein stancu polynomials in compact disks |
| topic | complex Bernstein-Stancu polynomials simultaneous approximation iterates of complex Bernstein-Stancu polynomials shape preserving properties univalent starlike |
| url | https://ictp.acad.ro/jnaat/journal/article/view/856 |
| work_keys_str_mv | AT soringgal approximationandgeometricpropertiesofsomecomplexbernsteinstancupolynomialsincompactdisks |