Sharp error bounds for the derivatives of Lidstone-spline interpolation II

Please use this identifier to cite or link to this item: https://doi.org/10.1016/0898-1221(95)00206-5

Title:	Sharp error bounds for the derivatives of Lidstone-spline interpolation II
Authors:	Wong, P.J.Y. Agarwal, R.P.
Keywords:	Boundary value problems Error bounds Integral equations Lidstone-spline interpolation
Issue Date:	Feb-1996
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
URI:	http://scholarbank.nus.edu.sg/handle/10635/104105
ISSN:	08981221
DOI:	10.1016/0898-1221(95)00206-5
Appears in Collections:	Staff Publications

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