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https://scholarbank.nus.edu.sg/handle/10635/104104
| Title: | Sharp error bounds for the derivatives of Lidstone-spline interpolation | Authors: | Wong, P.J.Y. Agarwal, R.P. |
Keywords: | Boundary value problems Error bounds Integral equations Lidstone-spline interpolation |
Issue Date: | Nov-1994 | Citation: | Wong, P.J.Y.,Agarwal, R.P. (1994-11). Sharp error bounds for the derivatives of Lidstone-spline interpolation. Computers and Mathematics with Applications 28 (9) : 23-53. ScholarBank@NUS Repository. | Abstract: | In this paper, we shall provide explicit error bounds for the derivatives of cubic and quintic Lidstone-spline interpolates in L∞ norm. These results are used to acquire precise error bounds for the derivatives of approximated quintic as well as bicubic and biquintic Lidstone-spline interpolates. Sufficient numerical illustration which dwells upon the sharpness and importance to boundary value problems and integral equations of the obtained results is also included. © 1994. | Source Title: | Computers and Mathematics with Applications | URI: | http://scholarbank.nus.edu.sg/handle/10635/104104 | ISSN: | 08981221 |
| Appears in Collections: | Staff Publications |
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