Approximation by Nonlinear Hermite-Fejer interpolation operators of max-product kind on Chebyshev nodes
The aim of this note is that by using the so-called max-product method, to associate to the Hermite-Fejer polynomials based on the Chebyshev knots of first kind, a new interpolation operator for which a Jackson-type approximation order in terms of \(\omega_{1}(f; 1/n)\) is obtained.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2010-02-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/917 |
| _version_ | 1818109528712937472 |
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| author | Lucian Coroianu Sorin G. Gal |
| author_facet | Lucian Coroianu Sorin G. Gal |
| author_sort | Lucian Coroianu |
| collection | DOAJ |
| description | The aim of this note is that by using the so-called max-product method, to associate to the Hermite-Fejer polynomials based on the Chebyshev knots of first kind, a new interpolation operator for which a Jackson-type approximation order in terms of \(\omega_{1}(f; 1/n)\) is obtained. |
| first_indexed | 2024-12-11T02:32:41Z |
| format | Article |
| id | doaj.art-adc3d708aeeb49aa80560611281e32fb |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-12-11T02:32:41Z |
| publishDate | 2010-02-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-adc3d708aeeb49aa80560611281e32fb2022-12-22T01:23:49ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2010-02-01391Approximation by Nonlinear Hermite-Fejer interpolation operators of max-product kind on Chebyshev nodesLucian Coroianu0Sorin G. Gal1University of OradeaUniversity of OradeaThe aim of this note is that by using the so-called max-product method, to associate to the Hermite-Fejer polynomials based on the Chebyshev knots of first kind, a new interpolation operator for which a Jackson-type approximation order in terms of \(\omega_{1}(f; 1/n)\) is obtained.https://ictp.acad.ro/jnaat/journal/article/view/917nonlinear Hermite-Fejer interpolation operators of max-product kindChebyshev nodes of first kinddegree of approximation |
| spellingShingle | Lucian Coroianu Sorin G. Gal Approximation by Nonlinear Hermite-Fejer interpolation operators of max-product kind on Chebyshev nodes Journal of Numerical Analysis and Approximation Theory nonlinear Hermite-Fejer interpolation operators of max-product kind Chebyshev nodes of first kind degree of approximation |
| title | Approximation by Nonlinear Hermite-Fejer interpolation operators of max-product kind on Chebyshev nodes |
| title_full | Approximation by Nonlinear Hermite-Fejer interpolation operators of max-product kind on Chebyshev nodes |
| title_fullStr | Approximation by Nonlinear Hermite-Fejer interpolation operators of max-product kind on Chebyshev nodes |
| title_full_unstemmed | Approximation by Nonlinear Hermite-Fejer interpolation operators of max-product kind on Chebyshev nodes |
| title_short | Approximation by Nonlinear Hermite-Fejer interpolation operators of max-product kind on Chebyshev nodes |
| title_sort | approximation by nonlinear hermite fejer interpolation operators of max product kind on chebyshev nodes |
| topic | nonlinear Hermite-Fejer interpolation operators of max-product kind Chebyshev nodes of first kind degree of approximation |
| url | https://ictp.acad.ro/jnaat/journal/article/view/917 |
| work_keys_str_mv | AT luciancoroianu approximationbynonlinearhermitefejerinterpolationoperatorsofmaxproductkindonchebyshevnodes AT soringgal approximationbynonlinearhermitefejerinterpolationoperatorsofmaxproductkindonchebyshevnodes |