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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
ISSN: 08981221
Appears in Collections:Staff Publications

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