Mean Convergence Rate of Derivatives by Lagrange Interpolation on Chebyshev Grids
We consider the rate of mean convergence of derivatives by Lagrange interpolation operators based on the Chebyshev nodes. Some estimates of error of the derivatives approximation in terms of the error of best approximation by polynomials are derived. Our results are sharp.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/503561 |
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| _version_ | 1832565950443945984 |
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| author | Wang Xiulian Ning Jingrui |
| author_facet | Wang Xiulian Ning Jingrui |
| author_sort | Wang Xiulian |
| collection | DOAJ |
| description | We consider the rate of mean convergence of derivatives by Lagrange interpolation operators based on the Chebyshev nodes. Some estimates of error of the derivatives approximation in terms of the error of best approximation by polynomials are derived. Our results are sharp. |
| format | Article |
| id | doaj-art-bd37cb7821934b88b28bb37b2a4f0e09 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-bd37cb7821934b88b28bb37b2a4f0e092025-02-03T01:05:32ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/503561503561Mean Convergence Rate of Derivatives by Lagrange Interpolation on Chebyshev GridsWang Xiulian0Ning Jingrui1Department of Mathematics, Tianjin Normal University, Tianjin 300387, ChinaDepartment of Mathematics, Tianjin Normal University, Tianjin 300387, ChinaWe consider the rate of mean convergence of derivatives by Lagrange interpolation operators based on the Chebyshev nodes. Some estimates of error of the derivatives approximation in terms of the error of best approximation by polynomials are derived. Our results are sharp.http://dx.doi.org/10.1155/2011/503561 |
| spellingShingle | Wang Xiulian Ning Jingrui Mean Convergence Rate of Derivatives by Lagrange Interpolation on Chebyshev Grids Discrete Dynamics in Nature and Society |
| title | Mean Convergence Rate of Derivatives by Lagrange Interpolation on Chebyshev Grids |
| title_full | Mean Convergence Rate of Derivatives by Lagrange Interpolation on Chebyshev Grids |
| title_fullStr | Mean Convergence Rate of Derivatives by Lagrange Interpolation on Chebyshev Grids |
| title_full_unstemmed | Mean Convergence Rate of Derivatives by Lagrange Interpolation on Chebyshev Grids |
| title_short | Mean Convergence Rate of Derivatives by Lagrange Interpolation on Chebyshev Grids |
| title_sort | mean convergence rate of derivatives by lagrange interpolation on chebyshev grids |
| url | http://dx.doi.org/10.1155/2011/503561 |
| work_keys_str_mv | AT wangxiulian meanconvergencerateofderivativesbylagrangeinterpolationonchebyshevgrids AT ningjingrui meanconvergencerateofderivativesbylagrangeinterpolationonchebyshevgrids |