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|Title:||Sharp error bounds for the derivatives of Lidstone-spline interpolation|
|Keywords:||Boundary value problems|
|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|
|Appears in Collections:||Staff Publications|
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