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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| Format: | Article |
| Language: | English |
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Hindawi Limited
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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doaj-bd37cb7821934b88b28bb37b2a4f0e092020-11-25T01:07:31ZengHindawi LimitedDiscrete 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Wang Xiulian Ning Jingrui |
| spellingShingle |
Wang Xiulian Ning Jingrui Mean Convergence Rate of Derivatives by Lagrange Interpolation on Chebyshev Grids Discrete Dynamics in Nature and Society |
| author_facet |
Wang Xiulian Ning Jingrui |
| author_sort |
Wang Xiulian |
| title |
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_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_sort |
mean convergence rate of derivatives by lagrange interpolation on chebyshev grids |
| publisher |
Hindawi Limited |
| series |
Discrete Dynamics in Nature and Society |
| issn |
1026-0226 1607-887X |
| publishDate |
2011-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2011/503561 |
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AT wangxiulian meanconvergencerateofderivativesbylagrangeinterpolationonchebyshevgrids AT ningjingrui meanconvergencerateofderivativesbylagrangeinterpolationonchebyshevgrids |
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