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|Title:||Sharp error bounds for the derivatives of Lidstone-spline interpolation II|
|Keywords:||Boundary value problems|
|Citation:||Wong, P.J.Y., Agarwal, R.P. (1996-02). Sharp error bounds for the derivatives of Lidstone-spline interpolation II. Computers and Mathematics with Applications 31 (3) : 61-90. ScholarBank@NUS Repository. https://doi.org/10.1016/0898-1221(95)00206-5|
|Abstract:||In this paper, we shall derive explicit error estimates in L∞ norm between a given function f(cursive Greek chi) ∈ PC(n)[a, b], 4 ≤ n ≤ 6 and its quintic Lidstone-spline interpolate. The results obtained are then used to establish precise error bounds for the approximated and biquintic Lidstone-spline interpolates. We also include applications to integral equations and boundary value problems as well as sufficient numerical examples which dwell upon the sharpness of the obtained results.|
|Source Title:||Computers and Mathematics with Applications|
|Appears in Collections:||Staff Publications|
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